解方程:
(1)$3(2x - 1) = 15$; (2)$3(2x - 1) = 5x + 2$;
(3)$4x + 2(5 - x) = 6$; (4)$4x - 6 = 3(5 - x)$;
(5)$2 + x = -5(x - 1)$; (6)$3x - 2 = 2(4x - 6)$;
(7)$2(x - 1) - 5 = 7x$; (8)$5x + 2 = 3(x + 2)$;
(9)$5(1 + x) = 2x - 4$; (10)$3 - (x + 2) = 5(x + 1)$;
(11)$2(x - 1) - 2 = 4x$; (12)$4 - 3(2 - x) = 5x$。
答案:(1)x=3 (2)x=5 (3)x=-2 (4)x=3 (5)x=$\frac{1}{2}$ (6)x=2 (7)x=-$\frac{7}{5}$ (8)x=2 (9)x=-3 (10)x=-$\frac{2}{3}$ (11)x=-2 (12)x=-1
解析:
(1)解:$3(2x - 1) = 15$
$6x - 3 = 15$
$6x = 18$
$x = 3$
(2)解:$3(2x - 1) = 5x + 2$
$6x - 3 = 5x + 2$
$6x - 5x = 2 + 3$
$x = 5$
(3)解:$4x + 2(5 - x) = 6$
$4x + 10 - 2x = 6$
$2x + 10 = 6$
$2x = -4$
$x = -2$
(4)解:$4x - 6 = 3(5 - x)$
$4x - 6 = 15 - 3x$
$4x + 3x = 15 + 6$
$7x = 21$
$x = 3$
(5)解:$2 + x = -5(x - 1)$
$2 + x = -5x + 5$
$x + 5x = 5 - 2$
$6x = 3$
$x = \frac{1}{2}$
(6)解:$3x - 2 = 2(4x - 6)$
$3x - 2 = 8x - 12$
$3x - 8x = -12 + 2$
$-5x = -10$
$x = 2$
(7)解:$2(x - 1) - 5 = 7x$
$2x - 2 - 5 = 7x$
$2x - 7 = 7x$
$-5x = 7$
$x = -\frac{7}{5}$
(8)解:$5x + 2 = 3(x + 2)$
$5x + 2 = 3x + 6$
$5x - 3x = 6 - 2$
$2x = 4$
$x = 2$
(9)解:$5(1 + x) = 2x - 4$
$5 + 5x = 2x - 4$
$5x - 2x = -4 - 5$
$3x = -9$
$x = -3$
(10)解:$3 - (x + 2) = 5(x + 1)$
$3 - x - 2 = 5x + 5$
$1 - x = 5x + 5$
$-x - 5x = 5 - 1$
$-6x = 4$
$x = -\frac{2}{3}$
(11)解:$2(x - 1) - 2 = 4x$
$2x - 2 - 2 = 4x$
$2x - 4 = 4x$
$-2x = 4$
$x = -2$
(12)解:$4 - 3(2 - x) = 5x$
$4 - 6 + 3x = 5x$
$-2 + 3x = 5x$
$-2x = 2$
$x = -1$