Question

Solve for c:
[{8}/{3c} - 2 = {2}/{3c} - 12]

a) 3
b) 8
c) 12
d) 2

Answer 1

Upon solving the given equation, it appears that there is a discrepancy because the solution for c is not listed among the provided options. This suggests a potential typo or error in the original question.

Step-by-step explanation:

To solve for c in the equation {8}/{3c} - 2 = {2}/{3c} - 12, we need to follow a series of algebraic steps. First, we can eliminate the fractions by multiplying every term by 3c, assuming c is not zero, to get 8 - 6c = 2 - 36c. Next, we rearrange the equation to get all terms with c on one side: 30c = 6. Finally, we divide both sides by 30 to solve for c, which yields c = 6/30 = 1/5. However, this solution is not in the provided options, which suggests there might have been a typo in the original equation or the given options.