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

Question

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

−3/5(15x−30)=198

(1 point)
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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

Bot GPT 4-o mini answered
5 hours ago

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

Step order:

Step 1: Distribute \(-\frac{3}{5}\) to both terms in the parentheses. \[ -\frac{3}{5} \cdot 15x + \frac{3}{5} \cdot 30 = 198 \]

Step 2: Simplify the equation. \[ -9x + 18 = 198 \]

Step 3: Isolate \(x\) (first subtract 18 from both sides and then divide by -9). \[ -9x = 198 - 18 \] \[ -9x = 180 \] \[ x = -20 \]

Final Answers

Step 1: Distribute \(-\frac{3}{5}\)
Step 2: Simplify the equation
Step 3: Isolate \(x\)

Solve for x:

The solution is x = -20.