Bujho paheli …. 2

And here's another ..

There is a garden with 4 gates, and inside the garden is a lemon tree. Chakru wants 2 lemons for himself from that tree, but at each gate there is a guard, who would want his customary “bakshish” ! Chakru can pick as many lemons he wants, but at each gate he would have to surrender half the lemons he is carrying to the guard at that point. All guards are of a generous nature, though, and each guard promises Chakru that out of the “half” that they receive, they would give back one lemon for his pains ..
So, whats the number of lemons that Chakru would need to pick in order to be left with 2 lemons at the end of it all ?!

Now here is a bit of an extension from my side: what if, there are n gates, each with a guard, and Chakru wants X lemons at the end of this all ? for what values of X would there be an integer solution ?!