What is the solution to the equation 0.24(x−10.2)=6 when solving for x?(1 point)
Responses
14.8
35.2
16.44
11.64
To solve the equation 0.24(x-10.2) = 6 for x, you can start by distributing 0.24 to the terms inside the parentheses:
0.24(x-10.2) = 6
0.24*x - 0.24*10.2 = 6
0.24x - 2.448 = 6
Next, you can add 2.448 to both sides of the equation to isolate the term with x:
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
Therefore, the solution to the equation is x = 35.2.