3. Решите уравнение:1) $$\frac{5}{24}-\frac{7}{16}=2\frac{5}{5}$$; 2) $$\frac{2x+1}{3}=\frac{x-1}{2}$$.

1) $$\frac{5}{24} - x = 2\frac{5}{16}$$

$$x = \frac{5}{24} - 2\frac{5}{16}$$

$$x = \frac{5}{24} - \frac{37}{16}$$

$$x = \frac{5 \cdot 2}{24 \cdot 2} - \frac{37 \cdot 3}{16 \cdot 3}$$

$$x = \frac{10}{48} - \frac{111}{48}$$

$$x = \frac{10 - 111}{48}$$

$$x = \frac{-101}{48}$$

$$x = -2\frac{5}{48}$$

2) $$\frac{2x+1}{3} = \frac{x-1}{2}$$

$$2(2x+1) = 3(x-1)$$

$$4x + 2 = 3x - 3$$

$$4x - 3x = -3 - 2$$

$$x = -5$$

Ответ: 1) $$-2\frac{5}{48}$$, 2) -5.