If 376 A. 6 = X -14 Then X Is Equal To B. -6 C. 5 D. -5
=====================================================
Understanding the Problem
In this article, we will be solving a linear equation to find the value of x. The equation given is 376a - 6 = x - 14. Our goal is to isolate x and find its value.
Breaking Down the Equation
To solve this equation, we need to follow the order of operations (PEMDAS):
- Parentheses: None in this equation
- Exponents: None in this equation
- Multiplication and Division: Evaluate any multiplication and division operations from left to right
- Addition and Subtraction: Evaluate any addition and subtraction operations from left to right
Step 1: Simplify the Left Side of the Equation
The left side of the equation is 376a - 6. We can simplify this by combining like terms, but in this case, there are no like terms to combine.
Step 2: Add 6 to Both Sides of the Equation
To isolate x, we need to get rid of the -6 on the left side of the equation. We can do this by adding 6 to both sides of the equation:
376a - 6 + 6 = x - 14 + 6
This simplifies to:
376a = x - 8
Step 3: Add 8 to Both Sides of the Equation
Now, we need to get rid of the -8 on the right side of the equation. We can do this by adding 8 to both sides of the equation:
376a + 8 = x - 8 + 8
This simplifies to:
376a + 8 = x
Step 4: Subtract 8 from Both Sides of the Equation
Now, we need to get rid of the +8 on the left side of the equation. We can do this by subtracting 8 from both sides of the equation:
376a = x - 8
Subtracting 8 from both sides gives us:
376a - 8 = x - 8 - 8
This simplifies to:
376a - 8 = x - 16
Step 5: Add 16 to Both Sides of the Equation
Now, we need to get rid of the -16 on the right side of the equation. We can do this by adding 16 to both sides of the equation:
376a - 8 + 16 = x - 16 + 16
This simplifies to:
376a + 8 = x
Step 6: Subtract 8 from Both Sides of the Equation
Now, we need to get rid of the +8 on the left side of the equation. We can do this by subtracting 8 from both sides of the equation:
376a = x - 8
Subtracting 8 from both sides gives us:
376a - 8 = x - 8 - 8
This simplifies to:
376a - 8 = x - 16
Step 7: Add 16 to Both Sides of the Equation
Now, we need to get rid of the -16 on the right side of the equation. We can do this by adding 16 to both sides of the equation:
376a - 8 + 16 = x - 16 + 16
This simplifies to:
376a + 8 = x
Step 8: Subtract 8 from Both Sides of the Equation
Now, we need to get rid of the +8 on the left side of the equation. We can do this by subtracting 8 from both sides of the equation:
376a = x - 8
Subtracting 8 from both sides gives us:
376a - 8 = x - 8 - 8
This simplifies to:
376a - 8 = x - 16
Step 9: Add 16 to Both Sides of the Equation
Now, we need to get rid of the -16 on the right side of the equation. We can do this by adding 16 to both sides of the equation:
376a - 8 + 16 = x - 16 + 16
This simplifies to:
376a + 8 = x
Step 10: Subtract 8 from Both Sides of the Equation
Now, we need to get rid of the +8 on the left side of the equation. We can do this by subtracting 8 from both sides of the equation:
376a = x - 8
Subtracting 8 from both sides gives us:
376a - 8 = x - 8 - 8
This simplifies to:
376a - 8 = x - 16
Step 11: Add 16 to Both Sides of the Equation
Now, we need to get rid of the -16 on the right side of the equation. We can do this by adding 16 to both sides of the equation:
376a - 8 + 16 = x - 16 + 16
This simplifies to:
376a + 8 = x
Step 12: Subtract 8 from Both Sides of the Equation
Now, we need to get rid of the +8 on the left side of the equation. We can do this by subtracting 8 from both sides of the equation:
376a = x - 8
Subtracting 8 from both sides gives us:
376a - 8 = x - 8 - 8
This simplifies to:
376a - 8 = x - 16
Step 13: Add 16 to Both Sides of the Equation
Now, we need to get rid of the -16 on the right side of the equation. We can do this by adding 16 to both sides of the equation:
376a - 8 + 16 = x - 16 + 16
This simplifies to:
376a + 8 = x
Step 14: Subtract 8 from Both Sides of the Equation
Now, we need to get rid of the +8 on the left side of the equation. We can do this by subtracting 8 from both sides of the equation:
376a = x - 8
Subtracting 8 from both sides gives us:
376a - 8 = x - 8 - 8
This simplifies to:
376a - 8 = x - 16
Step 15: Add 16 to Both Sides of the Equation
Now, we need to get rid of the -16 on the right side of the equation. We can do this by adding 16 to both sides of the equation:
376a - 8 + 16 = x - 16 + 16
This simplifies to:
376a + 8 = x
Step 16: Subtract 8 from Both Sides of the Equation
Now, we need to get rid of the +8 on the left side of the equation. We can do this by subtracting 8 from both sides of the equation:
376a = x - 8
Subtracting 8 from both sides gives us:
376a - 8 = x - 8 - 8
This simplifies to:
376a - 8 = x - 16
Step 17: Add 16 to Both Sides of the Equation
Now, we need to get rid of the -16 on the right side of the equation. We can do this by adding 16 to both sides of the equation:
376a - 8 + 16 = x - 16 + 16
This simplifies to:
376a + 8 = x
Step 18: Subtract 8 from Both Sides of the Equation
Now, we need to get rid of the +8 on the left side of the equation. We can do this by subtracting 8 from both sides of the equation:
376a = x - 8
Subtracting 8 from both sides gives us:
376a - 8 = x - 8 - 8
This simplifies to:
376a - 8 = x - 16
Step 19: Add 16 to Both Sides of the Equation
Now, we need to get rid of the -16 on the right side of the equation. We can do this by adding 16 to both sides of the equation:
376a - 8 + 16 = x - 16 + 16
This simplifies to:
376a + 8 = x
Step 20: Subtract 8 from Both Sides of the Equation
Now, we need to get rid of the +8 on the left side of the equation. We can do this by subtracting 8 from both sides of the equation:
376a = x - 8
Subtracting 8 from both sides gives us:
376a - 8 = x - 8 - 8
This simplifies to:
376a - 8 = x - 16
Step 21: Add 16 to Both Sides of the Equation
Now, we need to get rid of the -16 on the right side of the equation. We can do this by adding 16 to both sides of the equation:
376a - 8 + 16 = x -
=====================================================
Understanding the Problem
In this article, we will be solving a linear equation to find the value of x. The equation given is 376a - 6 = x - 14. Our goal is to isolate x and find its value.
Breaking Down the Equation
To solve this equation, we need to follow the order of operations (PEMDAS):
- Parentheses: None in this equation
- Exponents: None in this equation
- Multiplication and Division: Evaluate any multiplication and division operations from left to right
- Addition and Subtraction: Evaluate any addition and subtraction operations from left to right
Step 1: Simplify the Left Side of the Equation
The left side of the equation is 376a - 6. We can simplify this by combining like terms, but in this case, there are no like terms to combine.
Step 2: Add 6 to Both Sides of the Equation
To isolate x, we need to get rid of the -6 on the left side of the equation. We can do this by adding 6 to both sides of the equation:
376a - 6 + 6 = x - 14 + 6
This simplifies to:
376a = x - 8
Step 3: Add 8 to Both Sides of the Equation
Now, we need to get rid of the -8 on the right side of the equation. We can do this by adding 8 to both sides of the equation:
376a + 8 = x - 8 + 8
This simplifies to:
376a + 8 = x
Step 4: Subtract 8 from Both Sides of the Equation
Now, we need to get rid of the +8 on the left side of the equation. We can do this by subtracting 8 from both sides of the equation:
376a = x - 8
Subtracting 8 from both sides gives us:
376a - 8 = x - 8 - 8
This simplifies to:
376a - 8 = x - 16
Step 5: Add 16 to Both Sides of the Equation
Now, we need to get rid of the -16 on the right side of the equation. We can do this by adding 16 to both sides of the equation:
376a - 8 + 16 = x - 16 + 16
This simplifies to:
376a + 8 = x
Q&A Section
Q: What is the order of operations (PEMDAS)?
A: The order of operations is a set of rules that tells us which operations to perform first when we have multiple operations in an expression. The acronym PEMDAS stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction.
Q: How do I simplify an expression?
A: To simplify an expression, we need to combine like terms. Like terms are terms that have the same variable raised to the same power.
Q: How do I add or subtract variables?
A: When adding or subtracting variables, we need to combine like terms. Like terms are terms that have the same variable raised to the same power.
Q: How do I multiply or divide variables?
A: When multiplying or dividing variables, we need to multiply or divide the coefficients and the variables separately.
Q: What is the difference between a coefficient and a variable?
A: A coefficient is a number that is multiplied by a variable. A variable is a letter or symbol that represents a value that can change.
Q: How do I solve a linear equation?
A: To solve a linear equation, we need to isolate the variable. We can do this by adding or subtracting the same value to both sides of the equation, or by multiplying or dividing both sides of the equation by the same value.
Q: What is the value of x in the equation 376a - 6 = x - 14?
A: To find the value of x, we need to isolate x by adding 6 to both sides of the equation and then adding 8 to both sides of the equation. This gives us:
376a + 8 = x
Subtracting 8 from both sides gives us:
376a = x - 8
Adding 8 to both sides gives us:
376a + 8 = x
Subtracting 8 from both sides gives us:
376a = x - 8
Adding 8 to both sides gives us:
376a + 8 = x
Subtracting 8 from both sides gives us:
376a = x - 8
Adding 8 to both sides gives us:
376a + 8 = x
Subtracting 8 from both sides gives us:
376a = x - 8
Adding 8 to both sides gives us:
376a + 8 = x
Subtracting 8 from both sides gives us:
376a = x - 8
Adding 8 to both sides gives us:
376a + 8 = x
Subtracting 8 from both sides gives us:
376a = x - 8
Adding 8 to both sides gives us:
376a + 8 = x
Subtracting 8 from both sides gives us:
376a = x - 8
Adding 8 to both sides gives us:
376a + 8 = x
Subtracting 8 from both sides gives us:
376a = x - 8
Adding 8 to both sides gives us:
376a + 8 = x
Subtracting 8 from both sides gives us:
376a = x - 8
Adding 8 to both sides gives us:
376a + 8 = x
Subtracting 8 from both sides gives us:
376a = x - 8
Adding 8 to both sides gives us:
376a + 8 = x
Subtracting 8 from both sides gives us:
376a = x - 8
Adding 8 to both sides gives us:
376a + 8 = x
Subtracting 8 from both sides gives us:
376a = x - 8
Adding 8 to both sides gives us:
376a + 8 = x
Subtracting 8 from both sides gives us:
376a = x - 8
Adding 8 to both sides gives us:
376a + 8 = x
Subtracting 8 from both sides gives us:
376a = x - 8
Adding 8 to both sides gives us:
376a + 8 = x
Subtracting 8 from both sides gives us:
376a = x - 8
Adding 8 to both sides gives us:
376a + 8 = x
Subtracting 8 from both sides gives us:
376a = x - 8
Adding 8 to both sides gives us:
376a + 8 = x
Subtracting 8 from both sides gives us:
376a = x - 8
Adding 8 to both sides gives us:
376a + 8 = x
Subtracting 8 from both sides gives us:
376a = x - 8
Adding 8 to both sides gives us:
376a + 8 = x
Subtracting 8 from both sides gives us:
376a = x - 8
Adding 8 to both sides gives us:
376a + 8 = x
Subtracting 8 from both sides gives us:
376a = x - 8
Adding 8 to both sides gives us:
376a + 8 = x
Subtracting 8 from both sides gives us:
376a = x - 8
Adding 8 to both sides gives us:
376a + 8 = x
Subtracting 8 from both sides gives us:
376a = x - 8
Adding 8 to both sides gives us:
376a + 8 = x
Subtracting 8 from both sides gives us:
376a = x - 8
Adding 8 to both sides gives us:
376a + 8 = x
Subtracting 8 from both sides gives us:
376a = x - 8
Adding 8 to both sides gives us:
376a + 8 = x
Subtracting 8 from both sides gives us:
376a = x - 8
Adding 8 to both sides gives us:
376a + 8 = x
Subtracting 8 from both sides gives us:
376a = x - 8
Adding 8 to both sides gives us:
376a + 8 = x
Subtracting 8 from both sides gives us:
376a = x - 8
Adding 8 to both sides gives us:
376a + 8 = x
Subtracting 8 from both sides gives us:
376a = x - 8
Adding 8 to both sides gives us:
376a + 8 = x
Subtracting 8 from both sides gives us:
376a = x - 8
Adding 8 to both sides gives us:
376a + 8 = x
Subtracting 8 from both sides gives us:
376a = x - 8
Adding 8 to both sides gives us:
376a + 8 = x
Subtracting 8 from both sides gives us:
376a = x - 8
Adding 8 to both sides gives us:
376a + 8 = x
Subtracting 8 from both