Multi-Step Equations Unit Test

Question

7 of 157 of 15 Items
Question
What is the solution to the equation 1.26(x−7.352)=6.426 when solving for x?(1 point)
Responses

15.038
15.038

12.452
12.452

−2.252
negative 2.252

15.44876

Answer 1

To find the solution to the equation 1.26(x−7.352)=6.426, you need to isolate the variable x.

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

Next, simplify the expression on the left side:
1.26x - 9.25952 = 6.426

Then, move the constant term -9.25952 to the right side by adding it to both sides of the equation:
1.26x = 6.426 + 9.25952
1.26x = 15.68552

Finally, divide both sides of the equation by 1.26 to solve for x:
x = 15.68552 / 1.26
x = 12.452

Therefore, the solution to the equation 1.26(x−7.352)=6.426 when solving for x is 12.452.