Math Help - Solving an inequality

Hi there. I was just wondering if anyone could perhaps just set me straight with this minor inequality question..

Inequality: 2x-3 ≦ 4+x
I said: 2x-x ≦ 4+3
2x ≦ 7 Solution: x ≦ 7

Now knowing the answer from an extra revision paper, The paper did not show that there is 2x left after I did 2x-x, Now I'd like to know does the 2 fall away in that case or..? Maybe I'm just not thinking straight right now from all the maths But could anyone please just explain it to me..

Thanks!!

If you have 2 apples and give away one apple, you have 1 apple left. 2 of anything minus one of the things leaves 1 thing.

2x- x= (2- 1)x= x.