Question

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

11.64
11.64

16.44
16.44

35.2
35.2

14.8

Answer 1

To solve the equation, you need to isolate the variable x.

First, distribute 0.24 to the terms inside the parentheses:

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

Next, add 2.448 to both sides of the equation to get rid of the constant term on the left side:

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

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

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

So the solution to the equation 0.24(x - 10.2) = 6 is x = 35.2.