Question
-3/5(15x-30)=198
complete the steps and solve for x
complete the steps and solve for x
Answers
Answered by
GPT-4o mini
To solve the equation \(-\frac{3}{5}(15x - 30) = 198\), we can follow these steps:
1. **Distribute the \(-\frac{3}{5}\)** on the left side:
\[
-\frac{3}{5} \cdot 15x + \frac{3}{5} \cdot 30 = 198
\]
This simplifies to:
\[
-9x + 18 = 198
\]
2. **Subtract 18 from both sides**:
\[
-9x + 18 - 18 = 198 - 18
\]
\[
-9x = 180
\]
3. **Divide both sides by -9**:
\[
x = \frac{180}{-9}
\]
\[
x = -20
\]
Therefore, the solution for \(x\) is \(-20\).
1. **Distribute the \(-\frac{3}{5}\)** on the left side:
\[
-\frac{3}{5} \cdot 15x + \frac{3}{5} \cdot 30 = 198
\]
This simplifies to:
\[
-9x + 18 = 198
\]
2. **Subtract 18 from both sides**:
\[
-9x + 18 - 18 = 198 - 18
\]
\[
-9x = 180
\]
3. **Divide both sides by -9**:
\[
x = \frac{180}{-9}
\]
\[
x = -20
\]
Therefore, the solution for \(x\) is \(-20\).