Albert Barnes on 2 Corinthians 8:13

For I mean not that other men be eased, etc. I do not intend that others should be eased in order to relieve you. Literally, "Not that there should be rest (ανεσις, a letting loose, remission, relaxation) to others, but affliction (θλιψις) to you." Probably the Corinthians were able to contribute more than many other churches, certainly more than the churches of Macedonia, (2Cor 8:2;) and Paul therefore presses upon them the duty of giving according to their means, yet he by no means intended that the entire burden should come on them.