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

Responses

11.64
11.64

14.8
14.8

35.2
35.2

16.44

1 answer

To solve the equation 0.24(x-10.2) = 6 for x, we need to isolate x.

First, distribute 0.24 to the terms inside the parentheses:

0.24 * x - 0.24 * 10.2 = 6

0.24x - 2.448 = 6

Next, add 2.448 to both sides of the equation to isolate the term with x:

0.24x - 2.448 + 2.448 = 6 + 2.448

0.24x = 8.448

Lastly, 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 35.2.
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