201. Найдите корень уравнения: 1) $3(x - 2) = x + 2$; 2) $5 - 2(x - 1) = 4 - x$; 3) $(7x + 1) - (9x + 3) = 5$; 4) $3,4 + 2y = 7(y - 2,3)$; 5) $0,2(7 - 2y) = 2,3 - 0,3(y - 6)$; 6) $\frac{2}{3}(\frac{1}{3}x - \frac{1}{2}) = 4x + 2\frac{1}{2}$.

Решение: 1) $3(x - 2) = x + 2$ $3x - 6 = x + 2$ $3x - x = 2 + 6$ $2x = 8$ $x = \frac{8}{2}$ $x = 4$ 2) $5 - 2(x - 1) = 4 - x$ $5 - 2x + 2 = 4 - x$ $7 - 2x = 4 - x$ $-2x + x = 4 - 7$ $-x = -3$ $x = 3$ 3) $(7x + 1) - (9x + 3) = 5$ $7x + 1 - 9x - 3 = 5$ $-2x - 2 = 5$ $-2x = 5 + 2$ $-2x = 7$ $x = -\frac{7}{2}$ $x = -3,5$ 4) $3,4 + 2y = 7(y - 2,3)$ $3,4 + 2y = 7y - 16,1$ $2y - 7y = -16,1 - 3,4$ $-5y = -19,5$ $y = \frac{-19,5}{-5}$ $y = 3,9$ 5) $0,2(7 - 2y) = 2,3 - 0,3(y - 6)$ $1,4 - 0,4y = 2,3 - 0,3y + 1,8$ $1,4 - 0,4y = 4,1 - 0,3y$ $-0,4y + 0,3y = 4,1 - 1,4$ $-0,1y = 2,7$ $y = \frac{2,7}{-0,1}$ $y = -27$ 6) $\frac{2}{3}(\frac{1}{3}x - \frac{1}{2}) = 4x + 2\frac{1}{2}$ $\frac{2}{9}x - \frac{2}{6} = 4x + \frac{5}{2}$ $\frac{2}{9}x - \frac{1}{3} = 4x + \frac{5}{2}$ $\frac{2}{9}x - 4x = \frac{5}{2} + \frac{1}{3}$ $\frac{2}{9}x - \frac{36}{9}x = \frac{15}{6} + \frac{2}{6}$ $-\frac{34}{9}x = \frac{17}{6}$ $x = \frac{17}{6} \cdot (-\frac{9}{34})$ $x = -\frac{1}{2} \cdot \frac{3}{2}$ $x = -\frac{3}{4}$ $x = -0,75$ **Ответы:** 1) $x = 4$ 2) $x = 3$ 3) $x = -3,5$ 4) $y = 3,9$ 5) $y = -27$ 6) $x = -0,75$