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

Responses

14.8
14.8

35.2
35.2

11.64
11.64

16.44

2 answers

To solve the equation 0.24(x-10.2) = 6 for x, we need to isolate x by performing the necessary steps:

0.24(x-10.2) = 6

First, distribute 0.24 into the parentheses:

0.24x - 0.24(10.2) = 6

Simplify the expression within the parentheses:

0.24x - 2.448 = 6

Add 2.448 to both sides:

0.24x = 8.448

To solve for x, divide both sides by 0.24:

x = 8.448/0.24

x ≈ 35.2

Therefore, the solution to the equation is x ≈ 35.2.
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