I don't know when the exact phrase became so popular, but the meaning is that we are to give our burdens to God.
Matthew 11:28-30
28"Come to me, all you who are weary and burdened, and I will give you rest. 29Take my yoke upon you and learn from me, for I am gentle and humble in heart, and you will find rest for your souls. 30For my yoke is easy and my burden is light."
James 5:12-14
12Above all, my brothers, do not swear—not by heaven or by earth or by anything else. Let your "Yes" be yes, and your "No," no, or you will be condemned.
13Is any one of you in trouble? He should pray. Is anyone happy? Let him sing songs of praise. 14Is any one of you sick? He should call the elders of the church to pray over him and anoint him with oil in the name of the Lord.
Hebrews 5:7
During the days of Jesus' life on earth, he offered up prayers and petitions with loud cries and tears to the one who could save him from death, and he was heard because of his reverent submission.
Philippians 4:6
Do not be anxious about anything, but in everything, by prayer and petition, with thanksgiving, present your requests to God.
Acts 10:5
The angel answered, "Your
prayers and gifts to the poor have come up as a
memorial offering before God. Now send men to Joppa to bring back a man named Simon who is called Peter
2 Timothy 1:12
That is why I am suffering as I am. Yet I am not ashamed, because I know whom I have believed, and am convinced that he is able to guard what I have entrusted to him for that day.
1 Peter 4:13
But rejoice that you participate in the sufferings of Christ, so that you may be overjoyed when his glory is revealed.
Romans 8:18
[ Future Glory ] I consider that our present sufferings are not worth comparing with the glory that will be revealed in us.
Romans 5
1Therefore, since we have been justified through faith, we[a]have peace with God through our Lord Jesus Christ, 2through whom we have gained access by faith into this grace in which we now stand. And we[b] rejoice in the hope of the glory of God. 3Not only so, but we[c] also rejoice in our sufferings, because we know that suffering produces perseverance; 4perseverance, character; and character, hope. 5And hope does not disappoint us, because God has poured out his love into our hearts by the Holy Spirit, whom he has given us.
6You see, at just the right time, when we were still powerless, Christ died for the ungodly. 7Very rarely will anyone die for a righteous man, though for a good man someone might possibly dare to die.
2 Corinthians 1:5
For just as the sufferings of Christ flow over into our lives, so also through Christ our comfort overflows.
Philippians 3:10
I want to know Christ and the power of his resurrection and the fellowship of sharing in his sufferings, becoming like him in his death,
Jesus:
Isaiah 53:3
He was despised and rejected by men, a man of sorrows, and familiar with suffering. Like one from whom men hide their faces he was despised, and we esteemed him not.
The entire chapter of Isaiah 53 is a great one to study to see about Jesus' suffering and how He did it for God and how it was God's will. A really cool chapter
