[tex] \frac{ - \frac{2}{7}x + 1 \frac{1}{2} }{6} = \frac{ \frac{1}{3}x - \frac{1}{2} }{4} \\ 6( \frac{1}{3} x - \frac{1}{2} ) = 4( - \frac{2}{7} x+ 1 \frac{1}{2} ) \\ 2x - 3 = - \frac{8}{7} x + 6 \\ 2x + 1 \frac{1}{7} x = 6 + 3 \\ 3 \frac{1}{7} x = 9 \\ x = 9 \div 3 \frac{1}{7} \\ x = \frac{9 \times7 }{22} \\ x = \frac{63}{22} \\ x = 2 \frac{19}{22} [/tex]