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

Question

Responses

−2.252
negative 2.252

15.038
15.038

12.452
12.452

15.44876

Answer 1

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

1. Distribute the \( 1.26 \) on the left side of the equation: \[ 1.26x - 1.26 \times 7.352 = 6.426 \] Calculate \( 1.26 \times 7.352 \): \[ 1.26 \times 7.352 \approx 9.25 \] So the equation simplifies to: \[ 1.26x - 9.25 = 6.426 \]

2. Add \( 9.25 \) to both sides: \[ 1.26x = 6.426 + 9.25 \] Calculate \( 6.426 + 9.25 \): \[ 6.426 + 9.25 \approx 15.676 \] So now we have: \[ 1.26x = 15.676 \]

3. Divide by \( 1.26 \) to isolate \( x \): \[ x = \frac{15.676}{1.26} \] Calculate \( \frac{15.676}{1.26} \): \[ x \approx 12.4381 \]

Based on the closest answer from the options provided:

• The closest answer is 12.452.