[tex](3x+\frac{1}{2} ):3=(5x+2):\frac{1}{3} \\\\3x:3 + \frac{1}{2} : 3 = 5x : \frac{1}{3} + 2:\frac{1}{3} \\\\x+\frac{1}{6}=15x+6\\\\\frac{1}{6} - \frac{6}{1} = 15x - x\\\\\frac{1}{6} - \frac{36}{6} = 14x\\\\-\frac{35}{6}=14x\\\\-\frac{35}{84}=x\\\\-\frac{5}{12}=x\\\\[/tex]