Solve for x in the equation

Question

102.5 (x-11.92) = 71.6 round your answer to 3 decimal places
a. 0.699
b. 12.619
c. -11.221
d. 12.618

Answer 1

To solve the equation, we can start by distributing 102.5 to (x-11.92):

102.5(x-11.92) = 71.6

102.5x - 1223 = 71.6

Next, let's isolate the variable term by adding 1223 to both sides:

102.5x = 1294.6

Finally, divide both sides by 102.5 to solve for x:

x = 1294.6 / 102.5

x ≈ 12.618

Rounded to 3 decimal places, the answer is:

x ≈ 12.618

So the correct option is d. 12.618.