What is the solution to the equation 1.26(x−7.352)=6.426 when solving for x ?(1 point)

Answer 1

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

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

2. Calculate the right side: \[ \frac{6.426}{1.26} = 5.1 \]

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

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

5. Calculate the final result: \[ x = 12.452 \]

So, the solution to the equation is: \[ \boxed{12.452} \]