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

Question

when solving for x
?(1 point)
Responses

15.44876
15.44876

15.038
15.038

−2.252
negative 2.252

12.452

Answer 1

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

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

2. Calculate \( \frac{6.426}{1.26} \): \[ \frac{6.426}{1.26} \approx 5.1 \] (Calculating more precisely gives about 5.1)

3. Now we have: \[ x - 7.352 \approx 5.1 \]

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

So, the solution is \( x \approx 12.452 \).

The correct response is 12.452.