[tex] \frac{x}{3} - \frac{4 - x}{2} = 8 \frac{5}{6} - \frac{x}{4} \\ \\ \frac{x}{3} - \frac{4 - x}{2} = \frac{8 \times 6 + 5}{6} - \frac{x}{4} \\ \\ \frac{x}{3} - \frac{4 - x}{2} = \frac{48 + 5}{6} - \frac{x}{4} \\ \\ \frac{x}{3} - \frac{4 - x}{2} = \frac{53}{6} - \frac{x}{4} \\ \\ 4x - 6(4 - x) = 106 - 3x \\ \\ 4x - 24 + 6x = 106 - 3x \\ \\ 10x - 24 = 106 - 3x \\ \\ 10x = 106 - 3x + 24 \\ \\ 10x = - 3x + 130 \\ \\ 10x + 3x = 130 \\ \\ 13x = 130 \\ \\ x = \frac{130}{13} = 10 [/tex]
