“Cast your burden (what He has given you) upon the LORD, and He will sustain you; He will never allow the righteous to be shaken.”  Psalm 55:22 (Insert is from the margin of the New American Standard Bible)

‘What He has given you’
He has given you the family you are born into and the family you have 
borne -- are there burdens there?  Cast them upon the Lord.
He has provided the job you have -- are there burdens there?  Cast them upon the Lord.
He has placed you in a particular assembly of His saints -- are there burdens there?  Cast them upon the Lord.
He has allowed physical affliction -- is this an unbearable burden?  Cast it upon the Lord.
Whatever the burden, if you cast it on the Lord, He promises to sustain you.  He further promises that ‘He will never allow the righteous to be shaken.’
(In the Bible margin the word totter is given for shaken.)

The Amplified Bible opens up our verse even more as we read,
“Cast your burdens on the LORD [releasing the weight of it] and He will sustain you; He will never allow the [consistently] righteous to be moved (made to slip, fall or fail).”

Then in Peter 5:7, speaking of Christ Jesus, 
“Casting the whole of your care [all your anxieties, all your worries, all your concerns, once and for all] on Him, for He cares for you affectionately and cares about you watchfully.”  (Again, from the Amplified Bible)

The Lord is our divine support and His greatness is our comfort:
“The eternal God is your refuge, 
 And underneath are the everlasting arms…”  Deuteronomy 33:27

“You have given me the shield of Your salvation,
 Your right hand has held me up…”  Psalm 18:35

“Fear not, for I am always with you;
 Be not dismayed, for I am your God.
 I will strengthen you,
 Yes, I will help you,
 I will uphold you with My righteous right hand.”  Isaiah 41:10
And in 41:13 He says,
“For I, the LORD your God will hold your right hand,
 Saying to you, ‘Fear not, I will help you.’”

Our verse says, ‘He will never allow the righteous to be shaken’
‘The righteous’ is the key here.  And we know that,
“…The righteous live by faith.”  Habakkuk 2:4
What faith?
“…by faith in the Son of God, who loved me and gave Himself for me.”  Galatians 2:20

Scripture tells us to fear not and be anxious for nothing,  In this day of fear and anxiety our God has made these promises.  Can any child of His doubt His truth?  Believer, it is safe and right to cast all your burdens upon our faithful and loving Lord Jesus.  In truth, it is the only wise and prudent thing to do!  And along with the casting, with grateful hearts, give Him thanks for all His goodness unto us.

Together we praise, honor, adore and give Him all the glory!  Amen