What is the solution to the equation 1.26(x−7.352)=6.426 when solving for x ?(1 point) Responses 12.452 12.452 15.44876 15.44876 15.038 15.038 −2.252

Answer 1

To solve the equation 1.26(x−7.352)=6.426, we need to isolate the variable x.

First, distribute 1.26 to the terms inside the parentheses:
1.26(x) - 1.26(7.352) = 6.426

Simplify by multiplying:
1.26x - 9.24672 = 6.426

Next, add 9.24672 to both sides of the equation to get rid of the constant term on the left side:
1.26x - 9.24672 + 9.24672 = 6.426 + 9.24672
1.26x = 15.67272

Finally, divide both sides of the equation by 1.26 to solve for x:
x = 15.67272 / 1.26

Using a calculator, we find that x is approximately equal to 12.452.

Therefore, the solution to the equation is x = 12.452.