[tex]x - 5 \frac{8}{24} = 8 \frac{5}{6} \\ x - \frac{5 \times 24 + 8}{24} = \frac{8 \times 6 + 5}{6} \\ x - \frac{128}{24} = \frac{53}{6} \\ \frac{24x - 128}{24} = \frac{212}{24} \\ 24x - 128 = 212 \\ 24x = 212 + 128 \\ 24x = 340 \\ x = \frac{340}{24} = \frac{170}{12} = \frac{85}{6} [/tex]