1158. Решите уравнение: 1) 0,4(x - 3) - 1,6 = 5(0,1x - 0,5); 2) 1,5(2x - 5) + 2x = 5(0,5x - 1,5) - 10; 3) 2/3(1 1/2x + 3/5) - 4/5(5/12x - 1/2) = 1 3/5.

### Решение 1158 1) $0,4(x - 3) - 1,6 = 5(0,1x - 0,5)$ $0,4x - 1,2 - 1,6 = 0,5x - 2,5$ $0,4x - 2,8 = 0,5x - 2,5$ $-0,1x = 0,3$ $x = -3$ 2) $1,5(2x - 5) + 2x = 5(0,5x - 1,5) - 10$ $3x - 7,5 + 2x = 2,5x - 7,5 - 10$ $5x - 7,5 = 2,5x - 17,5$ $2,5x = -10$ $x = -4$ 3) $\frac{2}{3}(\frac{3}{2}x + \frac{3}{5}) - \frac{4}{5}(\frac{5}{12}x - \frac{1}{2}) = 1\frac{3}{5}$ $x + \frac{2}{5} - \frac{1}{3}x + \frac{2}{5} = \frac{8}{5}$ $\frac{2}{3}x + \frac{4}{5} = \frac{8}{5}$ $\frac{2}{3}x = \frac{4}{5}$ $x = \frac{4}{5} \cdot \frac{3}{2} = \frac{6}{5} = 1,2$ ### Решение 1160 1) $-1,4(x - 6) = 7(4x + 1,2)$ $-1,4x + 8,4 = 28x + 8,4$ $-29,4x = 0$ $x = 0$ 2) $2,6(0,4x - 1,4) = -3,9(1,2x - 0,9)$ $1,04x - 3,64 = -4,68x + 3,51$ $5,72x = 7,15$ $x = 1,25$ ### Решение 1162 1) $\frac{x - 8}{x + 2} = \frac{7}{3}$ $3(x - 8) = 7(x + 2)$ $3x - 24 = 7x + 14$ $-4x = 38$ $x = -9,5$ 2) $\frac{4}{x - 1,2} = \frac{15}{x - 10}$ $4(x - 10) = 15(x - 1,2)$ $4x - 40 = 15x - 18$ $-11x = 22$ $x = -2$