I want to put an offer on a house that’s listed at $80k. The listing agent told our agent that 2 offers have been accepted by the bank already. 1 is obviously a backup offer. 1st offer is $80k. 2nd offer is $80k with 3% closing costs back. If I offered $95k with 6% closing costs, can a bank accept my offer? I thought I read somewhere that in a short sale the bank can always entertain other offers even after accepting others until the house is closed. Is that true?