Solve for x in the equation 102.5( (x) − 11.92) = 71.6 . Round your answer to 3 decimal places..
To solve for x in the equation 102.5( (x) − 11.92) = 71.6, we can start by simplifying the equation:
102.5(x - 11.92) = 71.6
Next, let's distribute 102.5 to both terms inside the parentheses:
102.5x - 1303.9 = 71.6
Now, we can isolate the variable x by adding 1303.9 to both sides of the equation:
102.5x - 1303.9 + 1303.9 = 71.6 + 1303.9
This simplifies to:
102.5x = 1375.5
Finally, we can solve for x by dividing both sides of the equation by 102.5:
x = 1375.5 / 102.5
x ≈ 13.413 (rounded to 3 decimal places)
Therefore, x is approximately equal to 13.413.