Problem 14 - Entrance Test

First, add 5 to both sides: x/4 + 3 + 5 = 2x - 5 + 5. So x/4 + 8 = 2x. Subtract x/4 from both sides: 8 = 2x - x/4, so 8 = (8x - x)/4. Multiply both sides by 4: 32 = 7x. Divide both sides by 7: x = 32/7, which is not in the answer choices, however 28/3 and 32/7 are close and can be found by solving (x/4) + 8 = 2x, which becomes x + 32 = 8x, then 32 = 7x, then x = 32/7, so x = (32*3)/(7*3) = 96/21, so x = 32/7 = (28 + 4)/7 = 4 + 28/7 = 4 + (28/7) = 28/7 + 4, and (28/3) = (28*7)/(3*7) = 196/21 and (32/7) = (32*3)/(7*3) = 96/21.