1) 4x - 2 = 2x + 6

Давай решим уравнения из твоего варианта: 1) $4x - 2 = 2x + 6$ $4x - 2x = 6 + 2$ $2x = 8$ $x = 4$ 2) $-8x - 17 = 3x - 105$ $-8x - 3x = -105 + 17$ $-11x = -88$ $x = 8$ 3) $2(2 + y) = 19 - 3y$ $4 + 2y = 19 - 3y$ $2y + 3y = 19 - 4$ $5y = 15$ $y = 3$ 4) $-2(2 - 5x) = 2(x - 3) - 5$ $-4 + 10x = 2x - 6 - 5$ $-4 + 10x = 2x - 11$ $10x - 2x = -11 + 4$ $8x = -7$ $x = -0,875$ 5) $-4,92y - (0,08y + 5,12) = -0,88 - y$ $-4,92y - 0,08y - 5,12 = -0,88 - y$ $-5y - 5,12 = -0,88 - y$ $-5y + y = -0,88 + 5,12$ $-4y = 4,24$ $y = -1,06$ 6) $\frac{3}{4}x - \frac{2}{3}x + 1 = \frac{1}{2}x + \frac{1}{6}$ Умножим всё на 12 (общий знаменатель): $9x - 8x + 12 = 6x + 2$ $x + 12 = 6x + 2$ $x - 6x = 2 - 12$ $-5x = -10$ $x = 2$ 7) $(5x + 8) - (8x + 14) = 9$ $5x + 8 - 8x - 14 = 9$ $-3x - 6 = 9$ $-3x = 15$ $x = -5$ 8) $0,6(y - 3) - 0,5(y - 1) = 1,5$ $0,6y - 1,8 - 0,5y + 0,5 = 1,5$ $0,1y - 1,3 = 1,5$ $0,1y = 2,8$ $y = 28$ 9) $\frac{2}{3}(\frac{1}{3}x - \frac{1}{2}) = 4x + 2\frac{1}{2}$ $\frac{2}{9}x - \frac{1}{3} = 4x + \frac{5}{2}$ Умножим на 18: $4x - 6 = 72x + 45$ $4x - 72x = 45 + 6$ $-68x = 51$ $x = -\frac{51}{68} = -\frac{3}{4} = -0,75$ 10) $2\frac{1}{7}x - 3\frac{9}{14}x + x = -3$ $\frac{15}{7}x - \frac{51}{14}x + x = -3$ Приведем к общему знаменателю 14: $\frac{30}{14}x - \frac{51}{14}x + \frac{14}{14}x = -3$ $-\frac{7}{14}x = -3$ $-\frac{1}{2}x = -3$ $x = 6$ 11) $\frac{2}{3}(1,5x + 0,6) - 0,8(\frac{5}{12}x - 0,5) = 1$ $\frac{2}{3} \cdot \frac{3}{2}x + \frac{2}{3} \cdot \frac{3}{5} - \frac{4}{5} \cdot \frac{5}{12}x + \frac{4}{5} \cdot \frac{1}{2} = 1$ $x + 0,4 - \frac{1}{3}x + 0,4 = 1$ $\frac{2}{3}x + 0,8 = 1$ $\frac{2}{3}x = 0,2$ $\frac{2}{3}x = \frac{1}{5}$ $x = \frac{1}{5} \cdot \frac{3}{2} = \frac{3}{10} = 0,3$