To solve the equation \( 3( -5x + 9 ) = -108 \), let's break it down step by step.

### Step 1: Distribute the 3 across the terms inside the parentheses:
\[
3 \cdot (-5x) + 3 \cdot 9 = -108
\]
This simplifies to:
\[
-15x + 27 = -108
\]

### Step 2: Subtract 27 from both sides to isolate the term with \( x \):
\[
-15x = -108 - 27
\]
\[
-15x = -135
\]

### Step 3: Solve for \( x \) by dividing both sides by -15:
\[
x = \frac{-135}{-15}
\]
\[
x = 9
\]

Thus, the solution is:
\[
x = 9
\]

Would you like more details or have any questions?

Here are some related questions to expand on this topic:
1. How do you solve multi-step equations with variables on both sides?
2. What happens when distributing a negative sign in front of a parenthesis?
3. How do you check if the solution to a linear equation is correct?
4. How can you solve equations with fractions involved?
5. What are the common mistakes made when solving linear equations?

**Tip:** Always simplify the equation as much as possible before solving, especially when parentheses and distribution are involved!

Learn how to solve the linear equation 3( -5x + 9 ) = -108 by using the distributive property. This step-by-step solution breaks down the process of solving for x, perfect for students in Grades 6-8 working on algebraic equations.

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