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

Question

when solving for x
?(1 point)
Responses

−2.252
negative 2.252

12.452
12.452

15.44876
15.44876

15.038
15.038

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: \[ x - 7.352 = \frac{6.426}{1.26} \]

   Calculating the right side: \[ \frac{6.426}{1.26} \approx 5.1 \]

2. Add 7.352 to both sides: \[ x = 5.1 + 7.352 \]

   Calculating the right side: \[ x \approx 12.452 \]

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

Thus, the correct response from the options provided is 12.452.