Simplifying Quantified Statement For my assignment, I have to simplify this statement leaving no negations in the end.
$$\neg\exists x\ \forall x(\neg B(x) \wedge C(x))$$
Everything I've tried so far leaves me with a single negation sign on $B(x)$ or $C(x)$ and I just cannot figure this out. 

Are you sure that expression is correct?
You cannot quantify over the same variable twice.
Also, if that is a typo, please post the correct expression together with some of your work so we can help :).
