What is the solution to the equation 1.26(x−7.352)=6.426

Question

1.26
(
𝑥
−
7.352
)
=
6.426
when solving for x
𝑥
?(1 point)
Responses

15.038
15.038

12.452
12.452

15.44876
15.44876

−2.252....

Answer 1

To solve the equation \( 1.26(x - 7.352) = 6.426 \) for \( x \), follow these steps:

1. Divide both sides by 1.26: \[ x - 7.352 = \frac{6.426}{1.26} \]

2. Calculate the right-hand side: \[ \frac{6.426}{1.26} = 5.1 \] (You can use a calculator to verify this.)

3. Now, the equation becomes: \[ x - 7.352 = 5.1 \]

4. Add 7.352 to both sides: \[ x = 5.1 + 7.352 \]

5. Calculate the right-hand side: \[ x = 12.452 \]

Thus, the solution for \( x \) is:

12.452

So the correct response is 12.452.