What is the solution to the equation 0.24(x−10.2)=6 when solving for x ?(1 point) Responses 16.44 16.44 35.2 35.2 14.8 14.8 11.64

Answer 1

To solve the equation 0.24(x-10.2) = 6 for x, we can start by distributing 0.24 to both terms inside the parentheses:

0.24 * x - 0.24 * 10.2 = 6

0.24x - 2.448 = 6

Next, we can add 2.448 to both sides of the equation:

0.24x = 6 + 2.448

0.24x = 8.448

Finally, to isolate x, we divide both sides of the equation by 0.24:

x = 8.448/0.24

This simplifies to:

x = 35.2

Therefore, the solution to the equation is x = 35.2.