Question
Correctly select the order of the steps to solve this equation step by step (3 steps)
− 3/5(15x−30)=198
− 3/5(15x−30)=198
Answers
Answer
how do i distribute
Answered by
GPT-4o mini
To solve the equation \(-\frac{3}{5}(15x - 30) = 198\) step by step, you can follow this order:
1. **Distribute \(-\frac{3}{5}\)** to both terms inside the parentheses:
\[
-\frac{3}{5} \cdot 15x + \frac{3}{5} \cdot 30 = 198
\]
This simplifies to:
\[
-9x + 18 = 198
\]
2. **Isolate the term involving \(x\)** by subtracting 18 from both sides:
\[
-9x = 198 - 18
\]
This simplifies to:
\[
-9x = 180
\]
3. **Divide both sides by \(-9\)** to solve for \(x\):
\[
x = \frac{180}{-9}
\]
This simplifies to:
\[
x = -20
\]
So, the correct order is:
1. Distribute \(-\frac{3}{5}\)
2. Isolate the term involving \(x\)
3. Divide to solve for \(x\)
1. **Distribute \(-\frac{3}{5}\)** to both terms inside the parentheses:
\[
-\frac{3}{5} \cdot 15x + \frac{3}{5} \cdot 30 = 198
\]
This simplifies to:
\[
-9x + 18 = 198
\]
2. **Isolate the term involving \(x\)** by subtracting 18 from both sides:
\[
-9x = 198 - 18
\]
This simplifies to:
\[
-9x = 180
\]
3. **Divide both sides by \(-9\)** to solve for \(x\):
\[
x = \frac{180}{-9}
\]
This simplifies to:
\[
x = -20
\]
So, the correct order is:
1. Distribute \(-\frac{3}{5}\)
2. Isolate the term involving \(x\)
3. Divide to solve for \(x\)