Solve for x in the equation 102.5(x−11.92)=71.6. Round your answer to 3 decimal places.(1 poin

Answer 1

To solve for x in the equation 102.5(x-11.92) = 71.6, follow these steps:

1. Start by distributing 102.5 to the terms inside the parentheses:
102.5 * x = 102.5x
102.5 * (-11.92) = -1219.9

The equation now becomes:
102.5x - 1219.9 = 71.6

2. Add 1219.9 to both sides of the equation to isolate the variable term:
102.5x - 1219.9 + 1219.9 = 71.6 + 1219.9
102.5x = 1291.5

3. Divide both sides of the equation by 102.5 to solve for x:
x = 1291.5 / 102.5
x ≈ 12.609 (rounded to 3 decimal places)

Therefore, the solution to the equation 102.5(x-11.92) = 71.6 is x ≈ 12.609.