Multi-Step Equations Unit Test
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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
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.