To solve the equation \( 2x = 3x - 8 \), follow these steps:

### Step 1: Subtract \( 3x \) from both sides to get all the \( x \)-terms on one side.
\[
2x - 3x = 3x - 3x - 8
\]
\[
- x = -8
\]

### Step 2: Multiply both sides by \(-1\) to solve for \( x \).
\[
x = 8
\]

### Solution:
The solution to the equation is \( x = 8 \).

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Do you want more details on any part of the solution or have any questions?

Here are five related questions:
1. What happens if both sides of the equation had constants?
2. How do you solve an equation like \( 4x - 2 = 3x + 7 \)?
3. Can you explain how to check if \( x = 8 \) is correct?
4. How would you solve if there were fractions in the equation, like \( \frac{2x}{3} = x - 4 \)?
5. What is the general method for solving linear equations?

**Tip:** Always check your solution by substituting it back into the original equation to ensure it satisfies both sides.

Learn how to solve the linear equation 2x = 3x - 8 with a detailed step-by-step guide. This problem explains key algebraic concepts such as moving variables and constants across the equality and solving for x. Suitable for students in Grades 6-8.

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