Question

Solve for x: 9/28 + 3/x+2 = 3/4.

Answer 1

9/28 + 3/(x+2) = 3/4

Multiply both sides by 28:
9 + 84/(x+2) = 21
LCD = (x+2).
9(x+2)/(x+2) + 84/(x+2) = 21
Combine like-terms in numerators:
(9x + 102)/(x+2) = 21
Cross multiply:
21x + 42 = 9x + 102
21x - 9x = 102 - 42
12x = 60
X = 5.