Solve The Equation: 2 [ 6 − ( − 9 X − 8 ) ] = 126 X + 124 2[6 - (-9x - 8)] = 126x + 124 2 [ 6 − ( − 9 X − 8 )] = 126 X + 124

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Introduction

In this article, we will delve into solving a complex algebraic equation that involves multiple operations and variables. The given equation is $2[6 - (-9x - 8)] = 126x + 124$. Our goal is to isolate the variable $x$ and find its value. We will break down the solution step by step, using algebraic properties and techniques to simplify the equation and solve for $x$.

Step 1: Simplify the Equation

The first step in solving the equation is to simplify the expression inside the brackets. We will start by evaluating the expression $6 - (-9x - 8)$.

6 - (-9x - 8) = 6 + 9x + 8

Now, we can rewrite the original equation using the simplified expression:

2(6 + 9x + 8) = 126x + 124

Step 2: Distribute the Coefficient

Next, we will distribute the coefficient $2$ to the terms inside the brackets:

12 + 18x + 16 = 126x + 124

Step 3: Combine Like Terms

Now, we can combine like terms on the left-hand side of the equation:

28 + 18x = 126x + 124

Step 4: Isolate the Variable

To isolate the variable $x$, we will move all the terms involving $x$ to one side of the equation. We will start by subtracting $18x$ from both sides:

28 = 108x + 124

Step 5: Simplify the Equation

Next, we will simplify the equation by subtracting $124$ from both sides:

-96 = 108x

Step 6: Solve for x

Finally, we can solve for $x$ by dividing both sides of the equation by $108$:

x = -96/108

Step 7: Simplify the Fraction

To simplify the fraction, we will divide both the numerator and the denominator by their greatest common divisor, which is $12$:

x = -8/9

The final answer is $\boxed{-\frac{8}{9}}$.

Conclusion

In this article, we solved a complex algebraic equation that involved multiple operations and variables. We broke down the solution step by step, using algebraic properties and techniques to simplify the equation and solve for $x$. The final answer is $x = -\frac{8}{9}$.

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Introduction

In our previous article, we solved a complex algebraic equation that involved multiple operations and variables. The equation was $2[6 - (-9x - 8)] = 126x + 124$. We broke down the solution step by step, using algebraic properties and techniques to simplify the equation and solve for $x$. In this article, we will answer some frequently asked questions related to the solution of the equation.

Q&A

Q: What is the first step in solving the equation?

A: The first step in solving the equation is to simplify the expression inside the brackets. We will start by evaluating the expression $6 - (-9x - 8)$.

Q: How do we simplify the expression inside the brackets?

A: We will simplify the expression by combining like terms. The expression $6 - (-9x - 8)$ can be rewritten as $6 + 9x + 8$.

Q: What is the next step in solving the equation?

A: The next step in solving the equation is to distribute the coefficient $2$ to the terms inside the brackets. This will give us the equation $12 + 18x + 16 = 126x + 124$.

Q: How do we combine like terms on the left-hand side of the equation?

A: We will combine like terms by adding the constants together. The equation becomes $28 + 18x = 126x + 124$.

Q: How do we isolate the variable $x$?

A: To isolate the variable $x$, we will move all the terms involving $x$ to one side of the equation. We will start by subtracting $18x$ from both sides.

Q: What is the final step in solving the equation?

A: The final step in solving the equation is to solve for $x$ by dividing both sides of the equation by $108$. This will give us the value of $x$.

Q: What is the value of $x$?

A: The value of $x$ is $-\frac{8}{9}$.

Q: Why do we need to simplify the fraction?

A: We need to simplify the fraction to get the value of $x$ in its simplest form.

Q: What is the greatest common divisor of the numerator and the denominator?

A: The greatest common divisor of the numerator and the denominator is $12$.

Q: How do we simplify the fraction?

A: We simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is $12$.

Conclusion

In this article, we answered some frequently asked questions related to the solution of the equation $2[6 - (-9x - 8)] = 126x + 124$. We covered the steps involved in solving the equation, including simplifying the expression inside the brackets, distributing the coefficient, combining like terms, isolating the variable, and solving for $x$. We also answered questions related to the value of $x$ and the simplification of the fraction.

Additional Resources

• Algebraic Equations
• Simplifying Expressions
• Distributing Coefficients

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• Solving Linear Equations
• Solving Quadratic Equations
• Simplifying Fractions