1. 解下列方程:
(1)$2[x-\dfrac{1}{2}(x+2)]=5(x-2)$;
(2)$\dfrac{3}{4}[\dfrac{4}{3}(\dfrac{1}{2}x-\dfrac{1}{4})-8]=\dfrac{3}{2}x-1$;
(3)$\dfrac{1}{2}\{\dfrac{1}{3}[\dfrac{1}{4}(\dfrac{1}{5}x-2)-8]+6\}=1$;
(4)$\dfrac{2}{3}\{\dfrac{3}{2}[(\dfrac{2}{5}x-1)-3]-6\}-7=1$。
(1)$2[x-\dfrac{1}{2}(x+2)]=5(x-2)$;
(2)$\dfrac{3}{4}[\dfrac{4}{3}(\dfrac{1}{2}x-\dfrac{1}{4})-8]=\dfrac{3}{2}x-1$;
(3)$\dfrac{1}{2}\{\dfrac{1}{3}[\dfrac{1}{4}(\dfrac{1}{5}x-2)-8]+6\}=1$;
(4)$\dfrac{2}{3}\{\dfrac{3}{2}[(\dfrac{2}{5}x-1)-3]-6\}-7=1$。
答案
(1) $x=2$
(2) $x= -\frac{21}{4}$
(3) $x=-70$
(4) $x=40$
(2) $x= -\frac{21}{4}$
(3) $x=-70$
(4) $x=40$
2. 解下列方程:
(1) $\frac{-0.55x - 0.4}{0.7} - 1 = \frac{0.5x + 1}{0.2}$;
(2) $\frac{3 + 0.2x}{0.2} - \frac{0.2 + 0.03x}{0.01} = 0.6$;
(3) $\frac{5}{7}\{ \frac{7}{5}x - 14[ \frac{1}{2}x - $
$(x - 1) - 1 ] - 1 \} = x - 1$
(1) $\frac{-0.55x - 0.4}{0.7} - 1 = \frac{0.5x + 1}{0.2}$;
(2) $\frac{3 + 0.2x}{0.2} - \frac{0.2 + 0.03x}{0.01} = 0.6$;
(3) $\frac{5}{7}\{ \frac{7}{5}x - 14[ \frac{1}{2}x - $
答案
(1) $x=-2$
(2) $x=-2.8$
(3) $x= \frac{68}{105}$
(2) $x=-2.8$
(3) $x= \frac{68}{105}$
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