What is the solution to the equation 0.24(x-10.2)=6 when solving for x

16.44
14.8
35.2
11.64

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

0.24(x-10.2) = 0.24x - 2.448.

Then, you can isolate x by subtracting -2.448 from both sides of the equation:

0.24x - 2.448 = 6 - 2.448,
0.24x - 2.448 = 3.552.

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

0.24x = 3.552 + 2.448,
0.24x = 6.

Finally, to solve for x, divide both sides of the equation by 0.24:

x = 6 / 0.24,
x = 25.

So, the solution to the equation is x = 25.