[tex]( \frac{4}{5}x - \frac{3}{2}) : \frac{15}{4} = \frac{3}{2} \\ \\ \frac{4}{5}x - \frac{3}{2} \times \frac{4}{15} = \frac{3}{2} \\ \\ \frac{4}{5}x - 3 \times \frac{2}{15} = \frac{3}{2} \\ \\ \frac{4}{5}x - \frac{2}{5} = \frac{3}{2} \\ \\ 8x - 4 = 15 \\ \\ 8x = 15 + 4 = 19 \\ \\ x = \frac{19}{8} [/tex]
