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

Answer 1

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.