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1. 解方程:
(1) $5 + 3x = 15 - 2x$;
(2) $x - 7 = 10 - 4(x + 0.5)$;
(3) $4 - x = 2 - 3(2 - x)$;
(4) $-6 - 3(8 - x) = -2(15 - 2x)$.
(1) $5 + 3x = 15 - 2x$;
(2) $x - 7 = 10 - 4(x + 0.5)$;
(3) $4 - x = 2 - 3(2 - x)$;
(4) $-6 - 3(8 - x) = -2(15 - 2x)$.
答案
(1)x=2 (2)x=3 (3)x=2 (4)x=0
2. 解方程：
(1)$\frac{x}{6} - \frac{30 - x}{4} = 5$；
(2)$x - \frac{1 - x}{3} = \frac{x + 2}{6} - 1$；
(3)$\frac{1}{2}(x + 1) - 1 = 2 - \frac{1}{5}(x + 2)$；
(4)$y - \frac{y - 1}{2} = 2 - \frac{y + 2}{6}$。
(1)$\frac{x}{6} - \frac{30 - x}{4} = 5$；
(2)$x - \frac{1 - x}{3} = \frac{x + 2}{6} - 1$；
(3)$\frac{1}{2}(x + 1) - 1 = 2 - \frac{1}{5}(x + 2)$；
(4)$y - \frac{y - 1}{2} = 2 - \frac{y + 2}{6}$。
答案
(1)x=30 (2)$x=-\frac{2}{7}$ (3)x=3 (4)$y=\frac{7}{4}$
3. 解方程:
(1)$\frac{3 - 5x}{4} - \frac{5 + 2x}{3} = \frac{1 - 3x}{2} - 1$;
(2)$\frac{10x - 3}{2} = 1 + \frac{0.1 + 0.4x}{0.5}$.
(1)$\frac{3 - 5x}{4} - \frac{5 + 2x}{3} = \frac{1 - 3x}{2} - 1$;
(2)$\frac{10x - 3}{2} = 1 + \frac{0.1 + 0.4x}{0.5}$.
答案
(1)x=-1
(2)方程整理得 $5(10x - 3) = 10 + 2(1 + 4x)$，解得 $x=\frac{9}{14}$.
(2)方程整理得 $5(10x - 3) = 10 + 2(1 + 4x)$，解得 $x=\frac{9}{14}$.
