Problem 8 - Entrance Test

First, multiply every term by 4 to clear the fraction: x + 12 = 8x - 20. Then, subtract x from both sides to get 12 = 7x - 20. Add 20 to both sides to get 32 = 7x. Finally, divide both sides by 7 to find x = 32/7. However, it seems there was a mistake in solving the equation as none of the provided options match the correct solution. Let's correct that: x + 12 = 8x - 20, subtract x from both sides to get 12 = 7x - 20, add 20 to both sides to get 32 = 7x, and then divide by 7 to get x = 32/7, which does not match any given option. The error seems to be in the provided options as the correct calculation yields x = 32/7.