1. 解下列方程:
(1)$24 + 3x = 60$;
(2)$x - \frac{5}{7}x = 18$;
(3)$-2x + 6 = 3(x - 3)$;
(4)$3x - \frac{3}{4}x = \frac{18}{19}$;
(5)$\frac{3}{5}x + 5 × 4 = 95$;
(6)$3m + 10m - 0.5m = 30 - 5 + 2.5m$。
(1)$24 + 3x = 60$;
(2)$x - \frac{5}{7}x = 18$;
(3)$-2x + 6 = 3(x - 3)$;
(4)$3x - \frac{3}{4}x = \frac{18}{19}$;
(5)$\frac{3}{5}x + 5 × 4 = 95$;
(6)$3m + 10m - 0.5m = 30 - 5 + 2.5m$。
答案
(1)$x = 12$
(2)$x = 63$
(3)$x = 3$
(4)$x= \frac{8}{19}$
(5)$x = 125$
(6)$m = 2.5$
(2)$x = 63$
(3)$x = 3$
(4)$x= \frac{8}{19}$
(5)$x = 125$
(6)$m = 2.5$
2. 解下列方程:
(1)$-2x - 3(2x - 1) = 2$;
(2)$\frac{x + 1}{2} - \frac{x - 1}{5} = 1$;
(3)$x + \frac{1 - x}{3} = \frac{x + 2}{6} - 1$;
(4)$\frac{x}{0.7} - \frac{0.17 - 0.2x}{0.03} = 1$;
(5)$\frac{0.4y + 0.9}{0.5} - \frac{0.3 + 0.2y}{0.3} = 1$;
(6)$\frac{3x - 2}{2} - (2 - x) = x$。
(1)$-2x - 3(2x - 1) = 2$;
(2)$\frac{x + 1}{2} - \frac{x - 1}{5} = 1$;
(3)$x + \frac{1 - x}{3} = \frac{x + 2}{6} - 1$;
(4)$\frac{x}{0.7} - \frac{0.17 - 0.2x}{0.03} = 1$;
(5)$\frac{0.4y + 0.9}{0.5} - \frac{0.3 + 0.2y}{0.3} = 1$;
(6)$\frac{3x - 2}{2} - (2 - x) = x$。
答案
(1)$x= \frac{1}{8}$
(2)$x = 1$
(3)$x = -2$
(4)$x= \frac{14}{17}$
(5)$y= \frac{3}{2}$
(6)$x=2$
(2)$x = 1$
(3)$x = -2$
(4)$x= \frac{14}{17}$
(5)$y= \frac{3}{2}$
(6)$x=2$
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