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

Question

Responses

14.8
14.8

11.64
11.64

35.2
35.2

16.44

Answer 1

To solve the equation 0.24(x - 10.2) = 6 for x, we can start by distributing the 0.24 to both terms inside the parentheses:

0.24(x - 10.2) = 6
0.24 * x - 0.24 * 10.2 = 6
0.24x - 2.448 = 6

Next, we can add 2.448 to both sides of the equation to isolate the variable:

0.24x - 2.448 + 2.448 = 6 + 2.448
0.24x = 8.448

Finally, we divide both sides of the equation by 0.24 to solve for x:

(0.24x) / 0.24 = 8.448 / 0.24
x = 35.2

Therefore, the solution to the equation 0.24(x - 10.2) = 6 when solving for x is x = 35.2.