The word edit as a noun meaning "correction" is only about fifty years old! It came from the verb, which is a late eighteenth century back-formation from editor, which originally referred to the person in charge of printing pre-prepared works (and only later came to be associated with the proofreading process). That's a 1649 borrowing from Latin editus, meaning "brought forth", the past participle of the verb edere (which should not be confused with its homonym meaning "eat"). Finally, that can be broken up into the prefix ex- ("out"; traces to Proto-Indo-European eghs) and another verb, dare, meaning "to give" (from Proto-Indo-European do, also "give"). According to Google NGrams, usage frequency of the words edit, editor, and edition has remained relatively constant since the seventeenth century.
Adam Aleksic, a rising sophomore studying linguistics and government at Harvard University, has been described as the internet's sixth most famous etymologist. He also has disturbing interests in politics, vexillology, geography, board games, conlanging, and law.