Solve for x in the equation 102.5(x−11.92)=71.6 . Round your answer to 3 decimal places.
To solve for x, we can start by simplifying the equation.
First, distribute the 102.5 to both terms inside the parentheses:
102.5x - 102.5(11.92) = 71.6
Next, simplify the term -102.5(11.92):
102.5x - 1219 = 71.6
To isolate x, we can subtract 1219 from both sides of the equation:
102.5x = 71.6 + 1219
102.5x = 1290.6
Finally, divide both sides of the equation by 102.5 to solve for x:
x = 1290.6 / 102.5
x ≈ 12.591