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, we need to isolate the variable x.
First, let's distribute 1.26 to the terms inside the parentheses:
1.26x − 1.26(7.352) = 6.426
Simplifying the expression inside the parentheses:
1.26x − 9.245 = 6.426
Next, add 9.245 to both sides of the equation to isolate the variable term:
1.26x = 6.426 + 9.245
1.26x = 15.671
Finally, divide both sides by 1.26 to solve for x:
x = 15.671 / 1.26
Evaluating the division:
x ≈ 12.416
Therefore, the solution to the equation 1.26(x−7.352)=6.426 when solving for x is approximately x ≈ 12.416.