Nope. Lacking positive =/= negative. They can be represented by a 0, a neutral number that is neither positive nor negative.
No matter how many neutrons you add, you wont get a more negative charge.
Since you claim to be bad at math, maybe you should trust the mathematicians, programmers and chemists when they talk about neutrality and the number 0. If your system was better, surely it would be used instead of the current system.
It kinda was used...or at least, a version of it. It sucked ****, so they invented zero, and things like calculus started to work, and we invented computers. I skipped a few thousand years in that summary, but you get the drift.
But I've seen plenty of revisionist history on this site. At least this version is keeping me amused while I'm away from my family...lol