Solving x=(x x A)+B: Cross Product Solution?

[thenewbosco]

I am supposed to solve this explicitly for x:

x=(x x A)+B
where all variables represent vectors.

I moved the B vector to the other side and I was thinking i can take a cross product of something with each side to isolate x but do not know what works here, i tried crossing both sides with each of the vectors.
any suggestions on this one?
thanks

 

[thenewbosco]

any help at all on this one?

 

[StatusX]

Try dotting and crossing with different things (like, x, A, B). Use the BAC-CAB rule to simplify double cross products. Just mess around for a while and you should be able to figure it out.