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, 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.