My advice is to pick what appears to be the most complicated formula, and start there. Ca3(PO4)2 appears to be it.
So you need three Ca, so put a 3 on the left side in front of the calcium acetate.
YOu need two phosphates, so put a 2 in front on the left of the potassium phosphate.
Now, all that is left is to put the right coefficant on the right before postassium acetate.
How would I balance this equation Ca(C2H3O2)2+K3PO4-->Ca3(PO4)2+KC2H3O2
2 answers
3Ca(C2H3O2)+2K3PO4=1Ca3(PO4)2+6KC2H3O2