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

when solving for x
?(1 point)

15.038
15.038

−2.252
negative 2.252

12.452
12.452

15.44876
15.44876

1 answer

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

  1. Distribute 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 the equation is: \[ 1.26x = 15.69072 \]

  3. Divide both sides by 1.26: \[ x = \frac{15.69072}{1.26} \approx 12.452 \]

The solution to the equation \( 1.26(x−7.352)=6.426 \) is: \[ \boxed{12.452} \]