The King James Bible addresses sin in several passages:
Romans 3:23 (KJV)
23 For all have sinned, and come short of the glory of God;
Romans 6:23 (KJV)
23 For the wages of sin is death; but the gift of God is eternal life through Jesus Christ our Lord.
1 John 1:8-9 (KJV)
8 If we say that we have no sin, we deceive ourselves, and the truth is not in us. 9 If we confess our sins, he is faithful and just to forgive us our sins, and to cleanse us from all unrighteousness.
James 4:17 (KJV)
17 Therefore to him that knoweth to do good, and doeth it not, to him it is sin.
Isaiah 59:2 (KJV)
2 But your iniquities have separated between you and your God, and your sins have hid his face from you, that he will not hear.