Решение:
\[ \frac{2}{3} \cdot \left( x - \frac{9}{10} \right) = \frac{2}{3} \cdot x - \frac{2}{3} \cdot \frac{9}{10} \]
\[ \frac{2}{3} \cdot \frac{9}{10} = \frac{2 \cdot 9}{3 \cdot 10} = \frac{18}{30} \]
\[ \frac{18}{30} = \frac{3 \cdot 6}{5 \cdot 6} = \frac{3}{5} \]
\[ \frac{2}{3}x - \frac{3}{5} \]
Ответ: \( \frac{2}{3}x - \frac{3}{5} \)