a) x/2 = 5/6
6x = 2*5
6x = 10
x = 10 /:6
x = 6/10 = 3/5
b) x/2 = x+1/2
4x = 2*(x+1)
4x = 2x + 2
4x - 2x = 2
2x = 2 /:2
x = 1
c) 2(x-1)/3 = x+2/5
2x-2/5 = x+2/5
5(2x-1) = 3(x+2)
10x - 1 = 3x + 6
10x - 3x = 6 + 1
7x = 7 /:7
d) 1 - 2x+5/3 = 4 /*3
3*1 - 2x+5 = 3*4
3 - 2x - 5 = 12
- 2x = 12 - 3 + 5
- 2x = 14 /:(-2)
x = - 7
e) x/2 - x/3 + 1 = ⅙(x+6) /*6
6*(x/2) - 6*(x/3) + 6*1 = x+6
3x - 2x + 6 = x + 6
3x - 2x - x = 6 - 6
0 = 0
f) x-1/4 - x+1/2 = x/4 /*4
x-1 - 4*(x+1/2) = x
x - 1 - 2x + 2 = x
x - 2x - x = 1 - 2
- 2x = - 1 /:(-2)
x = ½
