Ask a New Question
Menu

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

when solving for x
?(1 point)
Responses

12.452
12.452

15.44876
15.44876

−2.252
negative 2.252

15.038

1 answer

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

  1. Distribute the 1.26: \[ 1.26x - 1.26 \times 7.352 = 6.426 \] Calculate \( 1.26 \times 7.352 \): \[ 1.26 \times 7.352 \approx 9.26472 \] So the equation becomes: \[ 1.26x - 9.26472 = 6.426 \]

  2. Add 9.26472 to both sides: \[ 1.26x = 6.426 + 9.26472 \] Calculate the right side: \[ 6.426 + 9.26472 \approx 15.69072 \] Now we have: \[ 1.26x = 15.69072 \]

  3. Divide by 1.26: \[ x = \frac{15.69072}{1.26} \] Calculate the division: \[ x \approx 12.452 \]

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