To solve the equation:

\[
-8 = \frac{-2}{3}(x - 3)
\]

Let's break it down step by step:

### Step 1: Eliminate the fraction
Multiply both sides of the equation by \( 3 \) to eliminate the denominator:

\[
3(-8) = -2(x - 3)
\]

This simplifies to:

\[
-24 = -2(x - 3)
\]

### Step 2: Distribute \(-2\) on the right side
Distribute the \(-2\) across the terms inside the parentheses:

\[
-24 = -2x + 6
\]

### Step 3: Isolate the \(x\)-term
Subtract 6 from both sides:

\[
-24 - 6 = -2x
\]

Simplifying:

\[
-30 = -2x
\]

### Step 4: Solve for \(x\)
Divide both sides by \(-2\):

\[
x = \frac{-30}{-2}
\]

\[
x = 15
\]

### Final Answer:
\[
x = 15
\]

Would you like further details or have any questions?

Here are 5 related questions:
1. How do you solve similar equations with different coefficients?
2. What happens if the signs of terms change during solving?
3. Can you solve an equation with a different fraction on the right-hand side?
4. How would you solve a multi-step equation with variables on both sides?
5. How does distributing negative signs affect solving equations?

**Tip:** Always clear fractions first when solving linear equations.

Learn how to solve the linear equation -8 = -2/3(x - 3) with a step-by-step breakdown. This example explains clearing fractions, using the distributive property, and isolating variables. Suitable for students in Grades 7-9.

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