An equation that doesn't have a solution would have to end up as something impossible when you solve it all out, like
5=3.
When you simplify your equation out, you get
3x-4=3x+?
Subtract 3x from both sides.
-4=?
From this, you can tell that you need to out something in the ? that will make the equation false, or something that doesn't equal -4.
You could put anything in the ? as long as it is not -4.
Hope this helps!