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

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 \( \frac{6}{0.24} \): \[ \frac{6}{0.24} = 25 \]

3. Now the equation is: \[ x - 10.2 = 25 \]

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

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

So, the solution for \( x \) is \( \boxed{35.2} \).