解方程:
(1)$\frac {1-x}{2}=\frac {2x-4}{3}$; (2)$\frac {2x-1}{2}-\frac {10x+1}{4}=3$;
(3)$\frac {3x+2}{2}-\frac {x-5}{3}=1$; (4)$2+\frac {x-2}{5}=\frac {x}{3}$;
(5)$\frac {x-3}{3}=x-\frac {3x-1}{6}$; (6)$x-\frac {1-x}{3}=\frac {x+2}{6}-1$;
(7)$\frac {x-2}{3}-\frac {1+x}{2}=-2$; (8)$\frac {1-y}{3}-y=3-\frac {y+2}{2}$;
(9)$\frac {1}{2}[x-\frac {1}{2}(x-1)]=\frac {2}{3}(x-1)$; (10)$\frac {2x-1}{3}-\frac {10x-1}{6}=\frac {2x+1}{4}-1$.
(1)$\frac {1-x}{2}=\frac {2x-4}{3}$; (2)$\frac {2x-1}{2}-\frac {10x+1}{4}=3$;
(3)$\frac {3x+2}{2}-\frac {x-5}{3}=1$; (4)$2+\frac {x-2}{5}=\frac {x}{3}$;
(5)$\frac {x-3}{3}=x-\frac {3x-1}{6}$; (6)$x-\frac {1-x}{3}=\frac {x+2}{6}-1$;
(7)$\frac {x-2}{3}-\frac {1+x}{2}=-2$; (8)$\frac {1-y}{3}-y=3-\frac {y+2}{2}$;
(9)$\frac {1}{2}[x-\frac {1}{2}(x-1)]=\frac {2}{3}(x-1)$; (10)$\frac {2x-1}{3}-\frac {10x-1}{6}=\frac {2x+1}{4}-1$.
答案:(1)$x=\frac {11}{7}$ (2)$x=-2.5$ (3)$x=-\frac {10}{7}$ (4)$x=12$ (5)$x=-7$ (6)$x=-\frac {2}{7}$ (7)$x=5$ (8)$y=-2$ (9)$x=\frac {11}{5}$ (10)$x=\frac {7}{18}$
解析:
(1)解:$3(1-x)=2(2x-4)$
$3-3x=4x-8$
$-3x-4x=-8-3$
$-7x=-11$
$x=\frac{11}{7}$
(2)解:$2(2x-1)-(10x+1)=12$
$4x-2-10x-1=12$
$-6x-3=12$
$-6x=15$
$x=-2.5$
(3)解:$3(3x+2)-2(x-5)=6$
$9x+6-2x+10=6$
$7x+16=6$
$7x=-10$
$x=-\frac{10}{7}$
(4)解:$30+3(x-2)=5x$
$30+3x-6=5x$
$3x+24=5x$
$-2x=-24$
$x=12$
(5)解:$2(x-3)=6x-(3x-1)$
$2x-6=6x-3x+1$
$2x-6=3x+1$
$2x-3x=1+6$
$-x=7$
$x=-7$
(6)解:$6x-2(1-x)=x+2-6$
$6x-2+2x=x-4$
$8x-2=x-4$
$8x-x=-4+2$
$7x=-2$
$x=-\frac{2}{7}$
(7)解:$2(x-2)-3(1+x)=-12$
$2x-4-3-3x=-12$
$-x-7=-12$
$-x=-5$
$x=5$
(8)解:$2(1-y)-6y=18-3(y+2)$
$2-2y-6y=18-3y-6$
$2-8y=12-3y$
$-8y+3y=12-2$
$-5y=10$
$y=-2$
(9)解:$\frac{1}{2}\left(x-\frac{1}{2}x+\frac{1}{2}\right)=\frac{2}{3}x-\frac{2}{3}$
$\frac{1}{2}\left(\frac{1}{2}x+\frac{1}{2}\right)=\frac{2}{3}x-\frac{2}{3}$
$\frac{1}{4}x+\frac{1}{4}=\frac{2}{3}x-\frac{2}{3}$
$3x+3=8x-8$
$3x-8x=-8-3$
$-5x=-11$
$x=\frac{11}{5}$
(10)解:$4(2x-1)-2(10x-1)=3(2x+1)-12$
$8x-4-20x+2=6x+3-12$
$-12x-2=6x-9$
$-12x-6x=-9+2$
$-18x=-7$
$x=\frac{7}{18}$
$3-3x=4x-8$
$-3x-4x=-8-3$
$-7x=-11$
$x=\frac{11}{7}$
(2)解:$2(2x-1)-(10x+1)=12$
$4x-2-10x-1=12$
$-6x-3=12$
$-6x=15$
$x=-2.5$
(3)解:$3(3x+2)-2(x-5)=6$
$9x+6-2x+10=6$
$7x+16=6$
$7x=-10$
$x=-\frac{10}{7}$
(4)解:$30+3(x-2)=5x$
$30+3x-6=5x$
$3x+24=5x$
$-2x=-24$
$x=12$
(5)解:$2(x-3)=6x-(3x-1)$
$2x-6=6x-3x+1$
$2x-6=3x+1$
$2x-3x=1+6$
$-x=7$
$x=-7$
(6)解:$6x-2(1-x)=x+2-6$
$6x-2+2x=x-4$
$8x-2=x-4$
$8x-x=-4+2$
$7x=-2$
$x=-\frac{2}{7}$
(7)解:$2(x-2)-3(1+x)=-12$
$2x-4-3-3x=-12$
$-x-7=-12$
$-x=-5$
$x=5$
(8)解:$2(1-y)-6y=18-3(y+2)$
$2-2y-6y=18-3y-6$
$2-8y=12-3y$
$-8y+3y=12-2$
$-5y=10$
$y=-2$
(9)解:$\frac{1}{2}\left(x-\frac{1}{2}x+\frac{1}{2}\right)=\frac{2}{3}x-\frac{2}{3}$
$\frac{1}{2}\left(\frac{1}{2}x+\frac{1}{2}\right)=\frac{2}{3}x-\frac{2}{3}$
$\frac{1}{4}x+\frac{1}{4}=\frac{2}{3}x-\frac{2}{3}$
$3x+3=8x-8$
$3x-8x=-8-3$
$-5x=-11$
$x=\frac{11}{5}$
(10)解:$4(2x-1)-2(10x-1)=3(2x+1)-12$
$8x-4-20x+2=6x+3-12$
$-12x-2=6x-9$
$-12x-6x=-9+2$
$-18x=-7$
$x=\frac{7}{18}$