[tex]( \frac{5}{8} x + \frac{1}{3} ) \times \frac{2}{3} = \frac{7}{9} \\ \frac{5}{8} x + \frac{1}{3} = \frac{7}{9} \div \frac{2}{3} \\ \frac{5}{8} x + \frac{1}{3} = \frac{7}{9} \times \frac{3}{2} \\ \frac{5}{8} x + \frac{1}{3} = \frac{7}{6} \\ \frac{5}{8} x = \frac{7}{6} - \frac{1}{3} \\ \frac{5}{8} x = \frac{7}{6} - \frac{2}{6} \\ \frac{5}{8} x = \frac{5}{6} \\ x = \frac{5}{6} \div \frac{5}{8} \\ x = \frac{5}{6} \times \frac{8}{5} \\ x = \frac{8}{6} = \frac{4}{3} = 1\frac{1}{3} [/tex]