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 11.64 11.64 35.2
To solve the equation 0.24(x−10.2)=6 for x, we need to isolate x on one side of the equation.
First, distribute the 0.24 to the terms inside the parentheses:
0.24x - 0.24 * 10.2 = 6
0.24x - 2.448 = 6
Next, add 2.448 to both sides of the equation to isolate the x-term:
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
Therefore, the solution for x is approximately 35.2.