I hand make soap from scratch. you know with oils and lye. But I have to say I have never seen borox used in a dish soap.
I wouldent recomend it. Borox can be used to make an Washing machine soap. I would not use it on somthing you put in your mouth though.
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Regular hand made soap can be used though. All the caustic ingereadents in hand made soap go through a chemical change that if don right are no longer harmfull. Makeing an handmade soap with some bee wax added will make your dishes dry without spots.
Other than that I think I will pop over to one of my soaping forums when I have time and check the whole Borox dish soap thing but It really seems to me to be a bad idea.