For example I say something and then I rethink and decide that my decicion was wrong and I want to cancel what I said and say the "new" and the correct (IMO) thing; therefore I go back on what I said.
go back on (e.g. a promise) -- act contrary to / renege on back off from (e.g. a commitment) -- distance oneself from / not completely fulfil back down from (e.g. a boast) -- fail to follow through on / compromise on