What is the solution to the equation 1.26(x-7.352)=6.426 when solving for x?

1 answer

To solve the equation 1.26(x - 7.352) = 6.426 for x, you would follow these steps:

1. Distribute 1.26 to the terms inside the parentheses:
1.26(x) - 1.26(7.352) = 6.426.

2. Simplify:
1.26x - 9.25952 = 6.426.

3. Add 9.25952 to both sides of the equation to isolate the variable term:
1.26x - 9.25952 + 9.25952 = 6.426 + 9.25952.

Simplifying further, you get:
1.26x = 15.68652.

4. Divide both sides of the equation by 1.26 to solve for x:
x = 15.68652 ÷ 1.26.

Calculating this division, the solution for x is:
x ≈ 12.43.