[tex]\frac{1}{3}x + 4 = \frac{1}{2}x + 5\\\\\frac{1}{3}x - \frac{1}{2}x = 5-4\\\\\frac{2}{6}x - \frac{3}{6}x = 1\\\\-\frac{1}{6}x = 1 \ \ /\cdot(-6)\\\\x = -6[/tex]