解下列方程:
(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)$\frac {1}{6}(3x-6)= \frac {2}{5}x-3$; (6)$3x-(5x-2)= 2(x-1)$;
(7)$1+3(x-1)= 7x-2(x-2)$; (8)$4(x+\frac {1}{2})+9= 5-3(x-1)$;
(9)$3(3x+5)= 2(2x-1)$; (10)$6(1-x)-5(x-2)= 2(2x+3)$.
(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)$\frac {1}{6}(3x-6)= \frac {2}{5}x-3$; (6)$3x-(5x-2)= 2(x-1)$;
(7)$1+3(x-1)= 7x-2(x-2)$; (8)$4(x+\frac {1}{2})+9= 5-3(x-1)$;
(9)$3(3x+5)= 2(2x-1)$; (10)$6(1-x)-5(x-2)= 2(2x+3)$.
答案:(1)x=3/2 (2)x=2 (3)x=9 (4)y=11 (5)x=-20 (6)x=1 (7)x=-3 (8)x=-3/7 (9)x=-17/5 (10)x=2/3
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:$\frac{1}{2}x - 1 = \frac{2}{5}x - 3$
$\frac{1}{2}x - \frac{2}{5}x = -3 + 1$
$\frac{5}{10}x - \frac{4}{10}x = -2$
$\frac{1}{10}x = -2$
$x = -20$
(6)解:$3x - 5x + 2 = 2x - 2$
$-2x - 2x = -2 - 2$
$-4x = -4$
$x = 1$
(7)解:$1 + 3x - 3 = 7x - 2x + 4$
$3x - 2 = 5x + 4$
$3x - 5x = 4 + 2$
$-2x = 6$
$x = -3$
(8)解:$4x + 2 + 9 = 5 - 3x + 3$
$4x + 11 = 8 - 3x$
$4x + 3x = 8 - 11$
$7x = -3$
$x = -\frac{3}{7}$
(9)解:$9x + 15 = 4x - 2$
$9x - 4x = -2 - 15$
$5x = -17$
$x = -\frac{17}{5}$
(10)解:$6 - 6x - 5x + 10 = 4x + 6$
$-11x + 16 = 4x + 6$
$-11x - 4x = 6 - 16$
$-15x = -10$
$x = \frac{2}{3}$
$10x = 15$
$x = \frac{3}{2}$
(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:$\frac{1}{2}x - 1 = \frac{2}{5}x - 3$
$\frac{1}{2}x - \frac{2}{5}x = -3 + 1$
$\frac{5}{10}x - \frac{4}{10}x = -2$
$\frac{1}{10}x = -2$
$x = -20$
(6)解:$3x - 5x + 2 = 2x - 2$
$-2x - 2x = -2 - 2$
$-4x = -4$
$x = 1$
(7)解:$1 + 3x - 3 = 7x - 2x + 4$
$3x - 2 = 5x + 4$
$3x - 5x = 4 + 2$
$-2x = 6$
$x = -3$
(8)解:$4x + 2 + 9 = 5 - 3x + 3$
$4x + 11 = 8 - 3x$
$4x + 3x = 8 - 11$
$7x = -3$
$x = -\frac{3}{7}$
(9)解:$9x + 15 = 4x - 2$
$9x - 4x = -2 - 15$
$5x = -17$
$x = -\frac{17}{5}$
(10)解:$6 - 6x - 5x + 10 = 4x + 6$
$-11x + 16 = 4x + 6$
$-11x - 4x = 6 - 16$
$-15x = -10$
$x = \frac{2}{3}$