[Xanthos]

I brought this up to a fundamentals of mathematics professor at my university - he explained to me that while your logic is not, technically, flawed, in any non-variable numeric equation, a variable is assumed. Therefore 2 + 2 = 4 is the assumed form of 2(X) + 2(X) = 4(X).
- Xanthos

P.S. - or any variable other than X, if you so prefer.