What is the solution to the equation 1.26(x - 7.352) = 6.426 when solving for x? (
To solve the equation 1.26(x - 7.352) = 6.426 for x, you can follow these steps:
1. Distribute the 1.26 to the terms inside the parentheses:
1.26x - 1.26(7.352) = 6.426
1.26x - 9.25152 = 6.426
2. Add 9.25152 to both sides of the equation to isolate the term with x on one side:
1.26x - 9.25152 + 9.25152 = 6.426 + 9.25152
1.26x = 15.67752
3. Divide both sides of the equation by 1.26 to solve for x:
(1.26x) / 1.26 = 15.67752 / 1.26
x ≈ 12.418
Therefore, the solution to the equation 1.26(x - 7.352) = 6.426 when solving for x is approximately x = 12.418.