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

Answer 1

To solve this equation for x, we need to isolate the variable on one side of the equation.

0.24(x - 10.2) = 6

First, distribute the 0.24 to the terms inside the parentheses:

0.24 * x - 0.24 * 10.2 = 6

0.24x - 2.448 = 6

Next, we want to get rid of the constant term -2.448 on the left side of the equation. To do this, we can add 2.448 to both sides:

0.24x - 2.448 + 2.448 = 6 + 2.448

0.24x = 8.448

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

(0.24x)/0.24 = 8.448/0.24

x = 35.2

Therefore, the solution to the equation 0.24(x - 10.2) = 6 is x = 35.2.