Let's solve the equation step by step.

The given equation is:

\[
-3(x + 3) = -9x + 15
\]

### Step 1: Distribute the \(-3\) on the left side.

\[
-3x - 9 = -9x + 15
\]

### Step 2: Move the variable terms to one side of the equation.

Add \(9x\) to both sides:

\[
-3x + 9x - 9 = 15
\]

Combine like terms:

\[
6x - 9 = 15
\]

### Step 3: Move the constant term to the other side of the equation.

Add 9 to both sides:

\[
6x = 24
\]

### Step 4: Solve for \(x\).

Divide both sides by 6:

\[
x = 4
\]

### Final Answer:
The solution to the equation is \(x = 4\).

Would you like more details or have any questions? Here are some related questions for further practice:

1. Solve the equation \(4(x - 2) = 3x + 10\).
2. How would you solve \(5 - 2(x + 4) = 3(x - 1)\)?
3. What is the solution to \(2(x + 5) - 3(x - 2) = 7\)?
4. Can you solve the equation \(7x - 3(2x + 1) = 14\)?
5. Solve the equation \(2(3x - 4) + 5 = 4x + 1\).

**Tip:** Always simplify both sides of the equation before solving for the variable.

Learn how to solve the equation -3(x + 3) = -9x + 15 step-by-step with detailed explanations of the distributive property and combining like terms. Suitable for students in Grades 7-9.

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