+129852 \(4 - \frac{3x + 1}{4} = x + \frac{3x + 14}{2}\) get common denominators
16 -[3x + 1] 2x + 3x + 14
__________ = ___________
4 2
15 - 3x 5x + 14
______ = __________ cross-multiply
4 2
2 ( 15 - 3x) = 4(5x + 14) sinmplify
30 - 6x = 20x + 56 add 6x to both sides, subtract 56 from both sides
-26 = 26x divide both sides by 26
-1 = x
