What is the solution to the equation 0.24(x−10.2)=6 when solving for x ?(1 point) Responses 16.44 16.44 35.2 35.2 11.64 11.64 14.8

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 becomes: \[ x - 10.2 = 25 \]

3. Add 10.2 to both sides: \[ x = 25 + 10.2 \] \[ x = 35.2 \]

Thus, the solution to the equation is \(x = 35.2\).

The correct response is: 35.2