[tex] \frac{7}{12} x - \frac{5}{18} = 2 \frac{4}{9} \\ \\ \frac{7}{12} x = 2 \frac{4}{9} + \frac{5}{18} \\ \\ \frac{7}{12} x = \frac{22}{9} + \frac{5}{18} \\ \\ \frac{7}{12} x = \frac{44}{18} + \frac{5}{18} \\ \\ \frac{7}{12} x = \frac{49}{18} \\ \\ x = \frac{49}{18} \div \frac{7}{12} = \frac{49}{18} \times \frac{12}{7} = \frac{7 \times 2}{3} = \frac{14}{3} = 4 \frac{2}{3} [/tex]