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:
102.5(x - 11.92) = 71.6
First, distribute 102.5 to both terms inside the parentheses:
102.5x - 102.5(11.92) = 71.6
Next, simplify the right side of the equation:
102.5x - 1202.9 = 71.6
Now, isolate the variable x by adding 1202.9 to both sides:
102.5x = 71.6 + 1202.9
102.5x = 1274.5
Finally, divide both sides of the equation by 102.5 to solve for x:
x = 1274.5 / 102.5
x ≈ 12.428
Rounded to 3 decimal places, x ≈ 12.428.