Does Christ’s death mean all our sins can be forgiven?
Yes, because Christ’s death on the cross fully paid the penalty for our sin, God graciously imputes Christ’s righteousness to us as if it were our own and will remember our sins no more.
For our sake he made him to be sin who knew no sin, so that in him we might become the righteousness of God.
2 Corinthians 5:21
He made Him to be sin, who knew no sin, so that in Him we might become the righteousness of God. Declared righteous. We were, upon his declaration and choosing, justified. While Christ was condemned with the penalty for our sins. In that earth-shaking act of self-sacrifice, God shows himself as both just and justifier (Rom. 3:26).
This has been coined the ‘great exhange’ — the double imputation — our sins imputed to Christ, and his righteousness imputed to us. But the promise goes further. We are not merely declared righteous, we are promised that we are being sanctified (Heb. 10:14), and that we will be glorified one day with Christ. We will be seated on the throne with Christ, vice-regents in his Kingdom (Rev. 3:21). We are more than just imputed with Christ’s righteousness, we are being incorporated into his righteousness as our lives are transformed ever more into the life of Christ.
Therefore, my beloved, as you have always obeyed, so now, not only as in my presence but much more in my absence, work out your own salvation with fear and trembling, for it is God who works in you, both to will and to work for his good pleasure.
Philippians 2:12-13