Solve for x in the equation 102.5(x-11.92)=71.6 round your answer to 3 decimal places

A. 12.619
B. 0.699
C. -11.221
D.12.618

1 answer

To solve for x, we need to isolate it on one side of the equation.

Starting with the given equation: 102.5(x-11.92) = 71.6

First, distribute 102.5 to (x-11.92):

102.5x - 102.5(11.92) = 71.6
102.5x - 1199 = 71.6

Next, combine like terms:

102.5x - 1199 = 71.6
102.5x = 1270.6

Finally, divide both sides by 102.5:

x = 1270.6/102.5
x ≈ 12.391 or x ≈ 12.619

Rounding to 3 decimal places, the answer is x ≈ 12.619.

Therefore, the correct answer is A. 12.619.