Several Scriptures that deal with burdens are:
Psalms 55:22:
"Give your burdens to the Lord. He will not permit the Godly to slip nor fall."

Matthew 11:28-30:
"Come unto me, all you who labor and are heavy burdened and I will give you rest. Take my yoke (get in the harness with Jesus) upon you and learn of me, for I am meek and lowly in heart and you shall find rest unto your souls. For my yoke is easy and my burden is light."

I Peter 5:7:
"Casting all your cares upon Him, for He cares for you."
In fishing, it takes a lot of 'casting' (fishing)...before 'catching'.
So in getting rid of burdens, a lot of praying....and faith brings the 'lifting of