[tex] \frac{1}{3}x + \frac{5}{3} = x - \frac{1}{2} \\ \\ \frac{x}{3} + \frac{5}{3} = x - \frac{1}{2} \\ \\ \frac{x + 5}{3} = x - \frac{1}{2} \\ \\ x + 5 = 3x - \frac{3}{2} \\ \\ 5 = 3x - \frac{3}{2} - x \\ \\ 5 = 2x - \frac{3}{2} \\ \\ 5 + \frac{3}{2} = 2x \\ \\ \frac{13}{2} = 2x \\ \\ \frac{ \frac{13}{2} }{2} = x \\ \\ \frac{13}{2 \times 2} = x \\ \\ \frac{13}{4} = x \\ \\ x = \frac{13}{4} [/tex]
