https://r2.erweima.ai/mathbot/image/1726186862767wobib2my.jpg

The equation extracted from the image is:

\[
2(108 - x) - 156 = 3x
\]

Let's solve this step-by-step:

1. Distribute the 2 across the terms inside the parentheses:
\[
2(108 - x) = 216 - 2x
\]
Thus, the equation becomes:
\[
216 - 2x - 156 = 3x
\]

2. Simplify the left-hand side:
\[
216 - 156 = 60
\]
Now, the equation is:
\[
60 - 2x = 3x
\]

3. Combine like terms by adding \( 2x \) to both sides:
\[
60 = 5x
\]

4. Solve for \( x \) by dividing both sides by 5:
\[
x = \frac{60}{5} = 12
\]

The solution is \( x = 12 \).

Do you need any further details or have questions? Here are some related questions to consider:

1. How do you solve equations with variables on both sides?
2. What are common methods to simplify linear equations?
3. How can you verify the solution of a linear equation?
4. What happens if the equation has no solutions or infinitely many solutions?
5. How does the distributive property work in algebra?

**Tip:** Always check your solution by substituting the value of \( x \) back into the original equation.

Learn how to solve the linear equation 2(108 - x) - 156 = 3x step-by-step. This problem covers essential algebraic concepts such as the distributive property and solving linear equations. Suitable for students in Grades 8-10.

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