Solve For X x: 2x/14=7

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**Solve for X: A Comprehensive Guide to Algebraic Equations** ===========================================================

What is Solve for X?

Solve for X is a fundamental concept in algebra that involves finding the value of a variable in an equation. It is a crucial skill that is used in various mathematical operations, including solving linear equations, quadratic equations, and systems of equations. In this article, we will focus on solving linear equations, specifically the equation 2x/14 = 7.

Understanding the Equation

The equation 2x/14 = 7 is a linear equation that involves a variable x. To solve for x, we need to isolate the variable x on one side of the equation. The equation can be rewritten as:

2x = 7 × 14

Step 1: Multiply 7 and 14

To solve for x, we need to multiply 7 and 14.

7 × 14 = 98

So, the equation becomes:

2x = 98

Step 2: Divide Both Sides by 2

To isolate x, we need to divide both sides of the equation by 2.

2x / 2 = 98 / 2

Q: Why do we divide both sides by 2?

A: We divide both sides by 2 to isolate x. By dividing both sides by 2, we are essentially canceling out the coefficient of x, which is 2.

Step 3: Simplify the Equation

After dividing both sides by 2, the equation becomes:

x = 49

Q: What is the value of x?

A: The value of x is 49.

Solving for X: A Step-by-Step Guide

Here is a step-by-step guide to solving for x:

  1. Multiply 7 and 14 to get 98.
  2. Divide both sides of the equation by 2 to isolate x.
  3. Simplify the equation to get the value of x.

Tips and Tricks

Here are some tips and tricks to help you solve for x:

  • Make sure to follow the order of operations (PEMDAS) when solving equations.
  • Use inverse operations to isolate the variable x.
  • Check your work by plugging the value of x back into the original equation.

Common Mistakes to Avoid

Here are some common mistakes to avoid when solving for x:

  • Not following the order of operations (PEMDAS).
  • Not using inverse operations to isolate the variable x.
  • Not checking your work by plugging the value of x back into the original equation.

Conclusion

Solving for x is a fundamental concept in algebra that involves finding the value of a variable in an equation. By following the steps outlined in this article, you can solve for x and become proficient in algebra. Remember to follow the order of operations (PEMDAS), use inverse operations to isolate the variable x, and check your work by plugging the value of x back into the original equation.

Frequently Asked Questions

Here are some frequently asked questions about solving for x:

Q: What is the value of x in the equation 2x/14 = 7? A: The value of x is 49.

Q: How do I solve for x in a linear equation? A: To solve for x in a linear equation, follow the steps outlined in this article.

Q: What is the order of operations (PEMDAS)? A: The order of operations (PEMDAS) is a set of rules that dictate the order in which mathematical operations should be performed. The acronym PEMDAS stands for:

  1. Parentheses
  2. Exponents
  3. Multiplication and Division
  4. Addition and Subtraction

Q: What is an inverse operation? A: An inverse operation is a mathematical operation that undoes the effect of another operation. For example, addition and subtraction are inverse operations, as are multiplication and division.

Q: Why is it important to check my work? A: It is important to check your work to ensure that the value of x is correct. By plugging the value of x back into the original equation, you can verify that the solution is correct.