I think the problem is:
2x-1 = 3
Add 1 to both sides of the equation
2x-1+1 = 3+1 [-1+1=0]
2x = 4
Divide both sides by 2:
2x/2 = 4/2 [2x/2 = x]
x = 2
Check:
2x - 1 = 3
2*(2) - 1 = 3 [Plugged in x=2]
4 - 1 = 3
3 = 3 CHECK!