解方程:
(1)$4x+3(2x-1)=12$; (2)$3x-2=10-2(x+1)$;
(3)$4x-3(20-x)=3$; (4)$5(y+8)=5-6(7-2y)$;
(5)$3-x=6x-2(x+1)$; (6)$3(2x+1)=5-4(x-2)$;
(7)$\frac {1}{6}(3x-6)=\frac {2}{5}x-3$; (8)$3x-(5x-2)=2(x-1)$;
(9)$1+3(x-1)=7x-2(x-2)$; (10)$4(x+\frac {1}{2})+9=5-3(x-1)$.
(1)$4x+3(2x-1)=12$; (2)$3x-2=10-2(x+1)$;
(3)$4x-3(20-x)=3$; (4)$5(y+8)=5-6(7-2y)$;
(5)$3-x=6x-2(x+1)$; (6)$3(2x+1)=5-4(x-2)$;
(7)$\frac {1}{6}(3x-6)=\frac {2}{5}x-3$; (8)$3x-(5x-2)=2(x-1)$;
(9)$1+3(x-1)=7x-2(x-2)$; (10)$4(x+\frac {1}{2})+9=5-3(x-1)$.
答案:(1)$x=\frac{3}{2}$ (2)$x=2$ (3)$x=9$ (4)$y=11$ (5)$x=1$ (6)$x=1$ (7)$x=-20$ (8)$x=1$ (9)$x=-3$ (10)$x=-\frac{3}{7}$
解析:
(1)解:$4x + 6x - 3 = 12$
$10x = 15$
$x = \frac{3}{2}$
(2)解:$3x - 2 = 10 - 2x - 2$
$3x + 2x = 8 + 2$
$5x = 10$
$x = 2$
(3)解:$4x - 60 + 3x = 3$
$7x = 63$
$x = 9$
(4)解:$5y + 40 = 5 - 42 + 12y$
$5y - 12y = -37 - 40$
$-7y = -77$
$y = 11$
(5)解:$3 - x = 6x - 2x - 2$
$-x - 4x = -2 - 3$
$-5x = -5$
$x = 1$
(6)解:$6x + 3 = 5 - 4x + 8$
$6x + 4x = 13 - 3$
$10x = 10$
$x = 1$
(7)解:$\frac{1}{2}x - 1 = \frac{2}{5}x - 3$
$\frac{1}{2}x - \frac{2}{5}x = -3 + 1$
$\frac{5}{10}x - \frac{4}{10}x = -2$
$\frac{1}{10}x = -2$
$x = -20$
(8)解:$3x - 5x + 2 = 2x - 2$
$-2x - 2x = -2 - 2$
$-4x = -4$
$x = 1$
(9)解:$1 + 3x - 3 = 7x - 2x + 4$
$3x - 2 = 5x + 4$
$3x - 5x = 4 + 2$
$-2x = 6$
$x = -3$
(10)解:$4x + 2 + 9 = 5 - 3x + 3$
$4x + 3x = 8 - 11$
$7x = -3$
$x = -\frac{3}{7}$
$10x = 15$
$x = \frac{3}{2}$
(2)解:$3x - 2 = 10 - 2x - 2$
$3x + 2x = 8 + 2$
$5x = 10$
$x = 2$
(3)解:$4x - 60 + 3x = 3$
$7x = 63$
$x = 9$
(4)解:$5y + 40 = 5 - 42 + 12y$
$5y - 12y = -37 - 40$
$-7y = -77$
$y = 11$
(5)解:$3 - x = 6x - 2x - 2$
$-x - 4x = -2 - 3$
$-5x = -5$
$x = 1$
(6)解:$6x + 3 = 5 - 4x + 8$
$6x + 4x = 13 - 3$
$10x = 10$
$x = 1$
(7)解:$\frac{1}{2}x - 1 = \frac{2}{5}x - 3$
$\frac{1}{2}x - \frac{2}{5}x = -3 + 1$
$\frac{5}{10}x - \frac{4}{10}x = -2$
$\frac{1}{10}x = -2$
$x = -20$
(8)解:$3x - 5x + 2 = 2x - 2$
$-2x - 2x = -2 - 2$
$-4x = -4$
$x = 1$
(9)解:$1 + 3x - 3 = 7x - 2x + 4$
$3x - 2 = 5x + 4$
$3x - 5x = 4 + 2$
$-2x = 6$
$x = -3$
(10)解:$4x + 2 + 9 = 5 - 3x + 3$
$4x + 3x = 8 - 11$
$7x = -3$
$x = -\frac{3}{7}$