Proving v=w using Vector Space Axioms

[aznboy]

Homework Statement

V is an arbitrary vector space and v,w,x are part of V such that v + x = w = x

Use vector space axioms to prove v = w

I've looked at the axioms for an hour and can not get any lead to start this question.

 

[Robert1986]

You mean v + x = w + x right?

Well, x \in V, right? Doesn't it have an additive inverse?

 

[aznboy]

yeah it satifies the 10 vector axioms, but i can't seem to muck around with the axioms to solve the problem.

Yeah sorry i meant v + x = w + x

I know it has something to do with the 0 vector. ie 0 = +x -x

When i incorporate that into the eqn i get v +x -x +x = w +x -x +x ... which I am not sure if it helps