What is the solution to the equation 1.26(x-7.352)=6.426 when solving for x

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

1. Distribute the 1.26:
   \[ 1.26x - 1.26 \cdot 7.352 = 6.426 \] Calculate \( 1.26 \cdot 7.352 \): \[ 1.26 \cdot 7.352 \approx 9.263 \] So the equation becomes: \[ 1.26x - 9.263 = 6.426 \]

2. Add 9.263 to both sides: \[ 1.26x = 6.426 + 9.263 \] Calculate the right side: \[ 6.426 + 9.263 \approx 15.689 \] Now we have: \[ 1.26x = 15.689 \]

3. Divide both sides by 1.26: \[ x = \frac{15.689}{1.26} \approx 12.450 \]

Rounding to three significant figures gives us \( x \approx 12.452 \).

Therefore, the solution for \( x \) is 12.452.