Question

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

15.44876
15.44876

12.452
12.452

−2.252
negative 2.252

15.038

Answer 1

To solve the equation 1.26(x-7.352) = 6.426 for x, we need to isolate x on one side of the equation.

First, distribute 1.26 to the terms inside the parentheses:

1.26x - 1.26(7.352) = 6.426

Next, simplify the equation:

1.26x - 9.278 = 6.426

Now, add 9.278 to both sides of the equation to move the constant term to the right side:

1.26x = 6.426 + 9.278

1.26x = 15.704

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

x = 15.704 / 1.26

x ≈ 12.452

So, the solution for x is approximately 12.452.