572. 1) 8 (3x-7) - 3 (8-x) = 5 (2x + 1); 2) 10 (2x-1)-9 (x - 2) +4 (5x + 8) = 71; 3) 3 + x (5 – x) = (2 – x) (x + 3); 4) 7-x (3 + x) = (x + 2) (5 – x).

Решим уравнения:

1. $$8(3x-7) - 3(8-x) = 5(2x+1);$$

   $$24x - 56 - 24 + 3x = 10x + 5;$$

   $$27x - 80 = 10x + 5;$$

   $$27x - 10x = 5 + 80;$$

   $$17x = 85;$$

   $$x = \frac{85}{17};$$

   $$x = 5.$$

   Ответ: 5

2. $$10(2x-1) - 9(x-2) + 4(5x+8) = 71;$$

   $$20x - 10 - 9x + 18 + 20x + 32 = 71;$$

   $$31x + 40 = 71;$$

   $$31x = 71 - 40;$$

   $$31x = 31;$$

   $$x = \frac{31}{31};$$

   $$x = 1.$$

   Ответ: 1

3. $$3 + x(5-x) = (2-x)(x+3);$$

   $$3 + 5x - x^2 = 2x + 6 - x^2 - 3x;$$

   $$3 + 5x - x^2 = 6 - x - x^2;$$

   $$5x + x = 6 - 3;$$

   $$6x = 3;$$

   $$x = \frac{3}{6};$$

   $$x = \frac{1}{2}.$$

   Ответ: 1/2

4. $$7 - x(3+x) = (x+2)(5-x);$$

   $$7 - 3x - x^2 = 5x - x^2 + 10 - 2x;$$

   $$7 - 3x - x^2 = 3x + 10 - x^2;$$

   $$-3x - 3x = 10 - 7;$$

   $$-6x = 3;$$

   $$x = \frac{3}{-6};$$

   $$x = -\frac{1}{2}.$$

   Ответ: -1/2