Multi-Step Equations Unit Test

Question

5 of 155 of 15 Items
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

35.2
35.2

14.8
14.8

16.44

Answer 1

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

First, distribute the 0.24 to the terms inside the parentheses:
0.24 * x - 0.24 * 10.2 = 6

This simplifies to:
0.24x - 2.448 = 6

Next, add 2.448 to both sides of the equation to get rid of the -2.448:
0.24x = 8.448

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

Performing the division, we get:
x = 35.2

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