x -x =x/x is a very interesting equation. It will become a famous equation. For your question, you have a right result!!. However, at this moment, I would not like to refer to it. Please recall the expansion, 1/(1-x) =1 +x + x^2 + x^2 + x^3 +….. For x = -1, you have : 1/2= 1 -1 +1 -1, .... However, we have to give the exact meaning for it. With great pleasures.