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

Answer 1

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

First, distribute 0.24 to both terms inside the parentheses:
0.24 * x - 0.24 * 10.2 = 6

Simplify:
0.24x - 2.448 = 6

Next, add 2.448 to both sides:
0.24x = 6 + 2.448

Simplify:
0.24x = 8.448

Finally, divide both sides by 0.24:
x = 8.448 / 0.24

Evaluate this expression to find the value of x:
x ≈ 35.2

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