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Question

Question 1
Correctly select the order of the steps to solve this equation.

−3/5(15x−30)=198


(3 points)
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Step 1:
Step 2:
Step 3:
Question 2
Solve for x.

−3/5(15x−30)=198

(1 point)
Responses

x = -24
x = -24

x = -36
x = -36

x = -10
x = -10

x = -20
x = -20
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Answer 1

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

Step 1:

Distribute \(-\frac{3}{5}\) to both terms inside the parentheses:

\[ -\frac{3}{5} \cdot 15x + \frac{3}{5} \cdot 30 = 198 \]

Step 2:

Simplify the equation:

\[ -9x + 18 = 198 \]

Step 3:

Isolate \(x\) by moving 18 to the other side and then solving for \(x\):

\[ -9x = 198 - 18 \] \[ -9x = 180 \] \[ x = -20 \]

Responses:

• For Step 1: Distribute \(-\frac{3}{5}\).
• For Step 2: Simplify the equation.
• For Step 3: Solve for \(x\).

Answer to Question 2:

The solution for \(x\) is \(x = -20\).