1 2\3-4\9=1 5\6х -0,5

[latex] 1\frac{2}{3} - \frac{4}{9} =1 \frac{5}{6} x-0.5 \\ \frac{5}{3} - \frac{4}{9} + \frac{1}{2} = \frac{11}{6} x \\ \frac{30}{18}- \frac{8}{18} + \frac{9}{18} = \frac{11}{6}x \\ \frac{11}{6}x= \frac{31}{18} \\ x= \frac{31}{18} : \frac{11}{6} \\ x= \frac{31}{18} * \frac{6}{11} \\ x= \frac{31}{33} [/latex]