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

Answer 1

To solve the equation 0.24(x−10.2)=6 for x, you can follow these steps:

1. Distribute 0.24 to the terms inside the parentheses:
0.24*x - 0.24*10.2 = 6

2. Simplify the equation by performing the multiplication:
0.24x - 2.448 = 6

3. Add 2.448 to both sides of the equation to isolate the variable term:
0.24x = 6 + 2.448

4. Simplify the right side of the equation:
0.24x = 8.448

5. Divide both sides of the equation by 0.24 to solve for x:
x = 8.448 / 0.24

6. Simplify the right side of the equation:
x ≈ 35.2

Therefore, the solution to the equation 0.24(x−10.2)=6 when solving for x is x ≈ 35.2