1 Peter 5:7 tells us to cast our burdens un to God for he cares for us.
Luke 11:28 also tells all those that are weary and are heavy laden to go to Jesus and he will give them rest.We should cast our burdens un to God that it he may sustain us.(Psalms 55:22).And it shall come to pass that the burden of the Asyrian will be lifted from your shoulders and the yoke taken away from your necks and the yoke shall be destroyed by the annointing.(Isaiah 10:27).
We should give him all our burdens because he carried them all at the cross.