Repotting is good.
But if the roots were compacted and overcrowded in the 6 inch pot to start with, you want to loosen the roots before you repot. I would take the plant out of its new pot, shake out the root ball, loosen the roots, you can cut out dead or old roots and repot in your fresh soil - soil that is not overly rich- soil containing some sand, vermiculite, or perlite is good. Water, though do not overwater. Keep in full sun for a while.