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

Question

when solving for x
?(1 point)
Responses

14.8
14.8

11.64
11.64

16.44
16.44

35.2

Answer 1

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

1. Divide both sides by 0.24:

\[ x - 10.2 = \frac{6}{0.24} \]

\[ x - 10.2 = 25 \]

2. Add 10.2 to both sides:

\[ x = 25 + 10.2 \]

\[ x = 35.2 \]

Therefore, the solution for \( x \) is \( 35.2 \).