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

Question

when solving for x
?(1 point)
Responses

15.038
15.038

−2.252
negative 2.252

15.44876
15.44876

12.452

Answer 1

To solve the equation \( 1.26(x - 7.352) = 6.426 \), we need to isolate \( x \).

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

2. Calculate \( \frac{6.426}{1.26} \): \[ \frac{6.426}{1.26} = 5.1 \] Now the equation is: \[ x - 7.352 = 5.1 \]

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

Thus, the solution to the equation is \( \boxed{12.452} \).