15 And he died for all, that those who live should no longer live for themselves but for him who died for them and was raised again.

Read 2 Corinthians 5:15 Using Other Translations

And that he died for all, that they which live should not henceforth live unto themselves, but unto him which died for them, and rose again.
and he died for all, that those who live might no longer live for themselves but for him who for their sake died and was raised.
He died for everyone so that those who receive his new life will no longer live for themselves. Instead, they will live for Christ, who died and was raised for them.