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

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

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

2. Calculate \( \frac{6.426}{1.26} \): \[ \frac{6.426}{1.26} \approx 5.1 \] (You can use a calculator for an exact division.)

3. Now the equation looks like: \[ x - 7.352 = 5.1 \]

4. Add 7.352 to both sides to solve for \( x \): \[ x = 5.1 + 7.352 \]

5. Calculate \( 5.1 + 7.352 \): \[ x \approx 12.452 \]

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