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

Answer 1

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

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

2. Calculate \( \frac{6.426}{1.26} \): \[ \frac{6.426}{1.26} \approx 5.1 \]

3. Now substitute back into the equation: \[ x - 7.352 \approx 5.1 \]

4. Add 7.352 to both sides: \[ x \approx 5.1 + 7.352 \] \[ x \approx 12.452 \]

Thus, the solution for \( x \) is approximately \( 12.452 \).

The correct answer from the given options is 12.452.