Решим уравнение:
$$1,5x + 2\frac{1}{3} = 2,5$$
$$1,5x + \frac{7}{3} = \frac{5}{2}$$
$$1,5x = \frac{5}{2} - \frac{7}{3}$$
$$1,5x = \frac{5 \cdot 3}{2 \cdot 3} - \frac{7 \cdot 2}{3 \cdot 2}$$
$$1,5x = \frac{15}{6} - \frac{14}{6}$$
$$1,5x = \frac{1}{6}$$
$$x = \frac{1}{6} : 1,5$$
$$x = \frac{1}{6} : \frac{3}{2}$$
$$x = \frac{1}{6} \cdot \frac{2}{3}$$
$$x = \frac{2}{18}$$
$$x = \frac{1}{9}$$
Ответ: $$\frac{1}{9}$$