Question

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

Answer 1

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

0.24(x-10.2) = 6
0.24x - 0.24(10.2) = 6
0.24x - 2.448 = 6

Next, we can isolate the variable x by adding 2.448 to both sides:

0.24x - 2.448 + 2.448 = 6 + 2.448
0.24x = 8.448

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

(0.24x)/0.24 = 8.448/0.24
x = 35