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

1 answer

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

1. Distribute 0.24 to both terms inside the parentheses:

0.24x - 0.24(10.2) = 6

2. Next, multiply 0.24 by 10.2:

0.24x - 2.448 = 6

3. Move the constant term (-2.448) to the right side of the equation by adding 2.448 to both sides:

0.24x = 6 + 2.448

0.24x = 8.448

4. Finally, divide both sides of the equation by 0.24 to solve for x:

x = 8.448 / 0.24

x ≈ 35.2

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