If you can't be bothered doing/to do something, you are too lazy or tired to do it.
如果你can't be bothered去做某件事，那就是说你懒得(做)或者不想费力去做。
凤凰快3A: Are you coming to Anna's party tonight?
凤凰快3B: I can't be bothered。 I'm too tired and anyway, we're not very close friends。
Most evenings I can't be bothered cooking.