5. Решите уравнение: 1) 4x-1-x+2=2; 9 6 2) (3x-5)(2x+7) = (3x+1)(2x-3) + 4x.

1) $$ \frac{4x-1}{9} - \frac{x+2}{6} = 2$$

Домножим обе части уравнения на 18:

$$2(4x-1) - 3(x+2) = 36$$

$$8x - 2 - 3x - 6 = 36$$

$$5x - 8 = 36$$

$$5x = 44$$

$$x = \frac{44}{5} = 8.8$$

2) (3x-5)(2x+7) = (3x+1)(2x-3) + 4x

6x² + 21x - 10x - 35 = 6x² - 9x + 2x - 3 + 4x

6x² + 11x - 35 = 6x² - 3x - 3

11x - 35 = -3x - 3

14x = 32

$$x = \frac{32}{14} = \frac{16}{7}$$

Ответ: 1) x = 8.8; 2) $$x = \frac{16}{7}$$