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

16.44
16.44

35.2

Answer 1

To solve the equation 0.24(x−10.2)=6 for x, we need to isolate x by performing the necessary operations.

First, distribute the 0.24 to both terms inside the parentheses: 0.24x - 0.24(10.2) = 6.

Next, simplify the expression inside the parentheses: 0.24x - 2.448 = 6.

Then, add 2.448 to both sides of the equation to isolate the x term: 0.24x - 2.448 + 2.448 = 6 + 2.448.

Simplifying further: 0.24x = 8.448.

Finally, divide both sides of the equation by 0.24 to solve for x: x = 8.448 / 0.24.

Calculating the value: x = 35.2.

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