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

Question

when solving for x
?(1 point)

11.64
11.64

16.44
16.44

14.8
14.8

35.2

Answer 1

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

1. Divide both sides by 0.24: \[ x - 10.2 = \frac{6}{0.24} \] Calculate \( \frac{6}{0.24} \): \[ \frac{6}{0.24} = 25 \] So the equation becomes: \[ x - 10.2 = 25 \]

2. Add 10.2 to both sides: \[ x = 25 + 10.2 \] Calculate \( 25 + 10.2 \): \[ x = 35.2 \]

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

The correct answer is: 35.2