Let's solve the equation \( 3(2x - 6) = -15 \).

### Step 1: Distribute the 3
Distribute the 3 across the terms inside the parentheses:

\[
3 \cdot 2x - 3 \cdot 6 = 6x - 18
\]

So the equation becomes:

\[
6x - 18 = -15
\]

### Step 2: Add 18 to both sides
To isolate the term with \(x\), add 18 to both sides of the equation:

\[
6x - 18 + 18 = -15 + 18
\]

This simplifies to:

\[
6x = 3
\]

### Step 3: Divide by 6
To solve for \(x\), divide both sides by 6:

\[
x = \frac{3}{6} = \frac{1}{2}
\]

So the solution is \( x = \frac{1}{2} \).

Would you like more details or have any questions?

Here are 5 related questions for further exploration:

1. How would you solve \( 4(3x + 2) = 20 \)?
2. What happens if the equation was \( 3(2x - 6) = 15 \) instead of \(-15\)?
3. How can you check if \( x = \frac{1}{2} \) is the correct solution?
4. How would the solution change if the equation were \( 6x - 18 = -30 \)?
5. How do you solve equations involving fractions like \( \frac{1}{3}(6x - 9) = -5 \)?

**Tip:** Always perform the same operation on both sides of an equation to keep it balanced.

Learn how to solve the equation 3(2x - 6) = -15 step-by-step with clear explanations. This problem involves applying the distributive property in algebra to simplify and solve for the variable x. Suitable for Grades 7-9.

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