What is the solution to the equation 0.24(x−10.2)=6 when solving for x ?(1 point)
Responses
16.44
16.44
14.8
14.8
35.2
35.2
11.64
To solve the equation 0.24(x−10.2)=6, first distribute the 0.24 to both terms inside the parentheses:
0.24x - (0.24)(10.2) = 6
Next, simplify the expression:
0.24x - 2.448 = 6
Add 2.448 to both sides of the equation to isolate the variable:
0.24x = 6 + 2.448
0.24x = 8.448
Finally, divide both sides of the equation by 0.24 to solve for x:
x = 8.448 / 0.24
x = 35.2
So the solution to the equation when solving for x is 35.2.