a)
3 - (x - 2) / 4 = 2x / közös nevezőre hozzuk
12 / 4 - (x - 2) / 4 = 8x / 4 / * 4
12 - (x - 2) = 8x
12 - x + 2 = 8x
14 - x = 8x / + x
14 = 9x / : 9
14/9 = x

Ellenőrzés:
3 - (14/9 - 2) / 4 = 2 * 14/9
3 - (14/9 - 18/9) / 4 = 28/9
3 - (-4/9) / 4 = 28/9
3 - (-1/9) = 28/9
3 + 1/9 = 28/9
27/9 + 1/9 = 28/9
28/9 = 28/9

b)
5 - (2x - 3) / 5 = 5x / közös nevezőre hozzuk
25 / 5 - (2x - 3) / 5 / 25x / 5 / * 5
25 - (2x - 3) = 25x
25 - 2x + 3 = 25x
28 - 2x = 25x / + 2x
28 = 27x / : 27
28/27 = x

Ellenőrzés:
5 - (2 * 28/27 - 3) / 5 = 5 * 28/27
5 - (56/27 - 81/27) / 5 = 140/27
5 - (-25/27) / 5 = 140/27
5 - (-5/27) = 140/27
5 + 5/27 = 140/27
135/27 + 5/27 = 140/27
140/27 = 140/27

d)
1 - (3 -2x) / 3 = -2x / közös nevezőre hozunk
3/3 - (3- 2x) / 3 = -6x / 3 / * 3
3 - (3 - 2x) = -6x
3 - 3 + 2x = -6x
2x = -6x / + 6x
8x = 0 / : 8
x = 0

Ellenőrzés:
1- (3 - 2 * 0) / 3 = -2 * 0
1 - (3 - 0) / 3 = 0
1 - 3/3 = 0
1 -1 = 0
0 = 0

e)
(x - 1) / 3 - (3 - 2x) / 6 = 2 / közös nevezőre hozunk
2 * (x - 1) / 6 - (3 - 2x) / 6 = 12 / 6 / * 6
2 * (x - 1) - (3 - 2x) = 12
2x - 2 - 3 + 2x = 12
4x - 5 = 12 / + 5
4x = 17 /: 4
x = 17/4

Ellenőrzés:
(17/4 - 1) / 3 - (3 - 2 * 17/4) / 6 = 2
(17/4 - 4/4) / 3 - (12/4 - 34/4) / 6 = 2
(13/4) / 3 - (-22/4) / 6 = 2
13/12 + 22/24 = 2
12/12 + 11/12 = 2
24/12 = 2
2 = 2