If this is something you'll have to do on a regular basis, the first choice should be to try to improve the database design (looking for primary keys, trying to get the "join" condition to be on as few columns as possible).
If that is not possible, the distinct second option is to figure out the "selectivity" of each of the columns (i.e. how many "different" values does each column have, 'name' would be more selective than 'address country' than 'male/female').
The general type of statement I'd suggest would be like this:
Delete from tableA
where exists (select * from tableB
where tableA.colx1 = tableB.colx1
and tableA.colx2 = tableB.colx2
etc. and tableA.colx10 = tableB.colx10).
The idea is to list the columns in order of the selectivity and build an index on colx1, colx2 etc. on tableB. The exact number of columns in tableB would be a result of some trial&measure. (Offset the time for building the index on tableB with the improved time of the delete statement.)
If this is just a one time operation, I'd just pick one of the slow methods outlined above. It's probably not worth the effort to think too much about this when you can just start a statement before going home ...