Question

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

Answer 1

To solve the equation, we need to isolate the variable x.

First, distribute 0.24 to (x - 10.2):

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

Next, isolate 0.24x by adding 2.448 to both sides:

0.24x = 6 + 2.448
0.24x = 8.448

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

x = 8.448 / 0.24
x ≈ 35.2

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