[tex] \frac{3}{22} x- \frac{1}{2} = \frac{6}{55} + \frac{1}{11}x \\ \frac{3}{22} x- \frac{1}{11}x= \frac{6}{55} + \frac{1}{2} \\ \frac{3}{22}x- \frac{2}{22}x= \frac{12}{110}+ \frac{55}{110} \\ \frac{1}{22}x= \frac{67}{110} \\ x= \frac{67}{110} : \frac{1}{22} \\ x= \frac{67}{110} * \frac{22}{1}(simplificam.prin.22.pe.110.si.22) \\ x= \frac{67}{5} * \frac{1}{1} \\ x= \frac{67}{5} [/tex]