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

when solving for x
?(1 point)
Responses

−2.252
negative 2.252

15.038
15.038

15.44876
15.44876

12.452

1 answer

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

  1. Distribute: \[ 1.26x - 1.26 \times 7.352 = 6.426 \] Calculate \( 1.26 \times 7.352 \): \[ 1.26 \times 7.352 \approx 9.26 \] So, the equation becomes: \[ 1.26x - 9.26 = 6.426 \]

  2. Add \( 9.26 \) to both sides: \[ 1.26x = 6.426 + 9.26 \] Calculate \( 6.426 + 9.26 \): \[ 6.426 + 9.26 \approx 15.686 \] Then we have: \[ 1.26x = 15.686 \]

  3. Divide both sides by \( 1.26 \): \[ x = \frac{15.686}{1.26} \] Calculate this division: \[ x \approx 12.452 \]

Therefore, the solution for \( x \) is:

\[ \boxed{12.452} \]