Решите уравнение: 1) 2x + 9 / 4 - x-2 / 6 = 3; 2) (2x - 3)(x + 7) = (x - 4)(2x + 3) + 23.

Решим уравнение:

$$\frac{2x + 9}{4} - \frac{x - 2}{6} = 3$$

$$\frac{3(2x + 9) - 2(x - 2)}{12} = 3$$

$$6x + 27 - 2x + 4 = 36$$

$$4x = 36 - 31$$

$$4x = 5$$

$$x = \frac{5}{4} = 1.25$$

Решим уравнение:

$$(2x - 3)(x + 7) = (x - 4)(2x + 3) + 23$$

$$2x^2 + 14x - 3x - 21 = 2x^2 + 3x - 8x - 12 + 23$$

$$2x^2 + 11x - 21 = 2x^2 - 5x + 11$$

$$11x + 5x = 11 + 21$$

$$16x = 32$$

$$x = 2$$