Question

Correctly select the order of the steps to solve this equation.

−3/5(15x−30)=198


(3 points)

Answer 1

To solve the equation \(-\frac{3}{5}(15x - 30) = 198\), you can follow these steps in order:

1. **Distribute**: Start by distributing \(-\frac{3}{5}\) across the terms in the parentheses:
\[
-\frac{3}{5} \cdot 15x + -\frac{3}{5} \cdot (-30) = 198
\]
This gives:
\[
-9x + 18 = 198
\]

2. **Isolate the variable term**: Subtract 18 from both sides to get the variable term by itself:
\[
-9x = 198 - 18
\]
Which simplifies to:
\[
-9x = 180
\]

3. **Solve for \(x\)**: Divide both sides by -9 to find \(x\):
\[
x = \frac{180}{-9}
\]
Which simplifies to:
\[
x = -20
\]

To summarize the order of steps:

1. Distribute.
2. Isolate the variable term.
3. Solve for \(x\).