a) Chuyển vế:
3/2x - 2/3 + 5/6 = 4x
Làm phân số chung mẫu:
9/6x - 4/6 + 5/6 = 4x
Kết hợp các phân số:
(9x - 4 + 5)/6 = 4x
(9x + 1)/6 = 4x
Đưa 4x về cùng mẫu:
(9x + 1)/6 - 4x = 0
(9x + 1 - 24x)/6 = 0
-15x + 1 = 0
-15x = -1
x = 1/15

b) Chuyển vế:
5/3(3x - 3) + 1/2 - 1/2(2x - 1) = 0
15/3x - 15/3 + 1/2 - 1/2x + 1/2 = 0
5x - 15 + 1 - 3x + 1 = 0
2x - 12 = 0
2x = 12
x = 6

c) Chuyển vế:
4(1/2 - x) - 5(x - 3/10) - 7/4 - x = 0
2 - 4x - 5x + 15/10 - 7/4 - x = 0
2 - 4x - 5x + 3/2 - 7/4 - x = 0
-10x - 1/2 - 7/4 = 0
-40x - 2 - 14 = 0
-40x - 16 = 0
-40x = 16
x = -16/40
x = -2/5

d) Chuyển vế:
1/3x - 2/3 - 1/2(x - 4) = 0
1/3x - 2/3 - 1/2x + 2 = 0
2/6x - 4/6 - 3/6x + 12/6 = 0
-1/6x + 8/6 = 0
-1/6x = -8/6
x = (-8/6) / (-1/6)
x = 8/6

e) Chuyển vế:
1/2(x + 2) - 4(x - 1/4) - 1/2x = 0
1/2x + 1 - 4x + 1 - 1/2x = 0
-3 1/2x + 2 = 0
-7/2x + 2 = 0
-7/2x = -2
x = (-2) / (-7/2)
x = 4/7