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

Answer 1

To solve the equation 0.24(x−10.2)=6 for x, we have to isolate x on one side of the equation.

First, let's distribute the 0.24 to the terms inside the bracket:

0.24x - 0.24 * 10.2 = 6

0.24x - 2.448 = 6

Next, let's isolate the x term by moving the constant term to the other side of the equation:

0.24x = 6 + 2.448

0.24x = 8.448

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

x = 8.448 / 0.24

x ≈ 35.2

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