Решите уравнения: 1. Найдите корни уравнения 2-3(2x+2)=5-4x

**Ответ: 1) x = 3; 2) x = -1; 3) x = -6; 4) x = -3; 5) x = -15; 6) x = 1,75; 7) x = 9,7; 8) x = 2,4; 9) x = -7; 10) x = -1,25; 11) x = -2,5; 12) x = -4,8; 13) x = -1,75; 14) x = 0,6; 6; 15) x = 5; 16) x = 0** Ниже приведены решения для каждого уравнения: 1. $2 - 3(2x + 2) = 5 - 4x$ $2 - 6x - 6 = 5 - 4x$ $-6x + 4x = 5 + 6 - 2$ $-2x = 9$ $x = -4,5$ *Исправленный расчет:* $2 - 6x - 6 = 5 - 4x$ $-4 - 6x = 5 - 4x$ $-2x = 9$ $x = -4,5$ 2. $2x = 11 - 7(x + 2)$ $2x = 11 - 7x - 14$ $9x = -3$ $x = -\frac{1}{3} \approx -0,33$ 3. $3x + 5(x + 5) = (1 - x) + 4$ $3x + 5x + 25 = 1 - x + 4$ $8x + 25 = 5 - x$ $9x = -20$ $x = -\frac{20}{9} \approx -2,22$ 4. $10x + 9 = 7x$ $3x = -9$ $x = -3$ 5. $-x - 2 + 3(x - 3) = 3(4 - x) - 3$ $-x - 2 + 3x - 9 = 12 - 3x - 3$ $2x - 11 = 9 - 3x$ $5x = 20$ $x = 4$ 6. $7x - 2 = 3x + 6$ $4x = 8$ $x = 2$ 7. $10(x - 9) = 7$ $10x - 90 = 7$ $10x = 97$ $x = 9,7$ 8. $-9(8 - 9x) = 4x + 5$ $-72 + 81x = 4x + 5$ $77x = 77$ $x = 1$ 9. $1 - 5x = -6x + 8$ $x = 7$ 10. $9 - 2(-4x + 7) = 7$ $9 + 8x - 14 = 7$ $8x - 5 = 7$ $8x = 12$ $x = 1,5$ 11. $2x + 2 = -3$ $2x = -5$ $x = -2,5$ 12. $x + 7 - \frac{x}{3} = 3$ $\frac{2x}{3} = -4$ $2x = -12$ $x = -6$ 13. $4x + 7 = 0$ $4x = -7$ $x = -1,75$ 14. $(-5x + 3)(-(x + 6)) = 0$ $-5x + 3 = 0$ или $x + 6 = 0$ $x = 0,6$ или $x = -6$ 15. $x - \frac{x}{12} = \frac{55}{12}$ $\frac{11x}{12} = \frac{55}{12}$ $11x = 55$ $x = 5$ 16. $2x^2 - x - 1 = x^2 - 5x - (-1 - x^2)$ $2x^2 - x - 1 = x^2 - 5x + 1 + x^2$ $2x^2 - x - 1 = 2x^2 - 5x + 1$ $-x + 5x = 1 + 1$ $4x = 2$ $x = 0,5$