Найдите корень уравнения: 1) (-14x + 3) * 5 = 155; 2) -8 (9 - 7x) = -64.

### 1. Найдите корень уравнения: 1) $(-14x + 3) \cdot 5 = 155$ $-14x + 3 = 155 / 5$ $-14x + 3 = 31$ $-14x = 31 - 3$ $-14x = 28$ $x = -2$ 2) $-8(9 - 7x) = -64$ $9 - 7x = -64 / (-8)$ $9 - 7x = 8$ $-7x = 8 - 9$ $-7x = -1$ $x = 1/7$ ### 2. Решите уравнение: 1) $4x = 24 + x$ $4x - x = 24$ $3x = 24$ $x = 8$ 2) $8x - 8 = 20 - 6x$ $8x + 6x = 20 + 8$ $14x = 28$ $x = 2$ 3) $9 - 4x = 3x - 40$ $-4x - 3x = -40 - 9$ $-7x = -49$ $x = 7$ 4) $0,6x - 5,4 = -0,8x + 5,8$ $0,6x + 0,8x = 5,8 + 5,4$ $1,4x = 11,2$ $x = 11,2 / 1,4 = 8$ 5) $4,7 - 1,1x = 0,5x - 3,3$ $-1,1x - 0,5x = -3,3 - 4,7$ $-1,6x = -8$ $x = 5$ 6) $\frac{5}{6}x + 16 = \frac{4}{9}x + 9$ $\frac{5}{6}x - \frac{4}{9}x = 9 - 16$ $\frac{15}{18}x - \frac{8}{18}x = -7$ $\frac{7}{18}x = -7$ $x = -7 \cdot \frac{18}{7}$ $x = -18$ ### 3. Найдите корень уравнения: 1) $\frac{x - 4}{4} = \frac{3x + 2}{10}$ $10(x - 4) = 4(3x + 2)$ $10x - 40 = 12x + 8$ $10x - 12x = 8 + 40$ $-2x = 48$ $x = -24$ 2) $\frac{0,2}{x - 1} = \frac{0,5}{x + 2}$ $0,2(x + 2) = 0,5(x - 1)$ $0,2x + 0,4 = 0,5x - 0,5$ $0,2x - 0,5x = -0,5 - 0,4$ $-0,3x = -0,9$ $x = 3$