What is the solution to the equation 1.26(x-7.352)=6.426
To find the solution to the equation 1.26(x-7.352) = 6.426, you can follow these steps:
1. Distribute the 1.26 to both terms inside the parentheses:
1.26x - 1.26(7.352) = 6.426
2. Simplify the equation by multiplying:
1.26x - 9.25952 = 6.426
3. Move the constant term (-9.25952) to the right side of the equation by adding it to both sides:
1.26x = 6.426 + 9.25952
4. Combine the numbers on the right side:
1.26x = 15.68552
5. Solve for x by dividing both sides of the equation by 1.26:
x = 15.68552 / 1.26
6. Evaluate the division:
x ≈ 12.415