What is the solution to the equation 0.24(x−10.2)=6

Question

when solving for x
?(1 point)
Responses

35.2
35.2

16.44
16.44

14.8
14.8

11.64

Answer 1

To solve the equation \(0.24(x - 10.2) = 6\), follow these steps:

1. Divide both sides by \(0.24\): \[ x - 10.2 = \frac{6}{0.24} \]

2. Calculate \(\frac{6}{0.24}\): \[ \frac{6}{0.24} = 25 \] So the equation now is: \[ x - 10.2 = 25 \]

3. Add \(10.2\) to both sides: \[ x = 25 + 10.2 \]

4. Calculate \(25 + 10.2\): \[ x = 35.2 \]

Therefore, the solution to the equation is \(35.2\).

The correct response is: 35.2.