3.46. Найдите корень уравнения: a) 3x - 2 = 2(x + 1) - 4; б) 10x - (2x - 4) = 4(3x - 2); в) 3(x+1)-9 = 6(x + 2); г) 5(x-1) - 3(x + 2) = -5x;

а) $3x - 2 = 2(x + 1) - 4$ $3x - 2 = 2x + 2 - 4$ $3x - 2 = 2x - 2$ $3x - 2x = -2 + 2$ $x = 0$ б) $10x - (2x - 4) = 4(3x - 2)$ $10x - 2x + 4 = 12x - 8$ $8x + 4 = 12x - 8$ $12x - 8x = 4 + 8$ $4x = 12$ $x = 3$ в) $3(x + 1) - 9 = 6(x + 2)$ $3x + 3 - 9 = 6x + 12$ $3x - 6 = 6x + 12$ $6x - 3x = -6 - 12$ $3x = -18$ $x = -6$ г) $5(x - 1) - 3(x + 2) = -5x$ $5x - 5 - 3x - 6 = -5x$ $2x - 11 = -5x$ $2x + 5x = 11$ $7x = 11$ $x = \frac{11}{7}$ **Ответ:** а) $x = 0$ б) $x = 3$ в) $x = -6$ г) $x = \frac{11}{7}$