Verified answer

[tex]\frac{5}{6} ( \frac{1}{3} x - \frac{1}{5} ) = 3x + 3 \frac{1}{3} \\ \frac{5}{18} x - \frac{1}{6} = 3x + 3 \frac{1}{3} \\ \frac{5}{18} x - 3x= 3 \frac{1}{3} + \frac{1}{6} \\ \frac{5}{18} - 2 \frac{18}{18} x = 3 \frac{2}{6} + \frac{1}{6} \\ - 2 \frac{13}{18} x = 3 \frac{3}{6} \\ x = 3 \frac{1}{2} \div ( - 2 \frac{13}{18} ) \\ x = - \frac{7 \times 18}{2 \times 49} \\ x = - \frac{9}{7} \\ x = - 1 \frac{2}{7} [/tex]