Solve for x.

Question

−3/5(15x−30)=198

(1 point)
Responses

x = -24

x = -36

x = -10

x = -20

Answer 1

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

1. Distribute the \(-\frac{3}{5}\): \[ -\frac{3}{5} \cdot 15x + \frac{3}{5} \cdot 30 = 198 \] This simplifies to: \[ -9x + 18 = 198 \]

2. Subtract 18 from both sides: \[ -9x = 198 - 18 \] \[ -9x = 180 \]

3. Divide both sides by -9: \[ x = \frac{180}{-9} \] \[ x = -20 \]

So the solution is \(x = -20\).

The correct answer is: x = -20.