https://file.aiquickdraw.com/mathbot/file/1725888877784fgtck6xu.jpg

Let's solve the equation provided in the image:

The equation is:

\[
2(x - 5) = 9 - 3x + 6 + 8 + 3x + 7
\]

### Step 1: Simplify both sides

#### Left-hand side:
Expand \(2(x - 5)\):
\[
2(x - 5) = 2x - 10
\]

#### Right-hand side:
Combine the constants on the right-hand side:
\[
9 + 6 + 8 + 7 = 30
\]
The right-hand side simplifies to:
\[
30 - 3x + 3x = 30
\]
Since \(-3x + 3x = 0\), we are left with:
\[
30
\]

### Step 2: Solve the equation

Now, the equation becomes:
\[
2x - 10 = 30
\]

Add 10 to both sides:
\[
2x = 40
\]

Divide both sides by 2:
\[
x = 20
\]

### Solution:
The correct answer is **B. \(x = 20\)**.

Would you like more details on any part of the solution? Here are some related questions you might find helpful:

1. How do you solve equations with variables on both sides?
2. How do you combine like terms in an algebraic expression?
3. What are some tips for solving linear equations efficiently?
4. How do you check if your solution to an equation is correct?
5. What is the process of isolating a variable in an equation?

**Tip:** When solving equations, always simplify both sides as much as possible before solving for the variable.

Which of these is a solution to the equation 2(x - 5) = 9 - 3x + 6 + 8 + 3x + 7?

Learn how to solve the linear equation 2(x - 5) = 9 - 3x + 6 + 8 + 3x + 7, which involves simplifying expressions and solving for x. This problem is suitable for Grade 8 students and tests key algebraic skills.

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