Jesus said: “Come to me, all you that are weary and are carrying heavy burdens, and I will give you rest." He did not say that he would take away our burden, but he will refresh us and give us the strength to carry our burdens.
Based on Matthew 11:28-30:
‘Come to me, all you that are weary and are carrying heavy burdens, and I will give you rest. Take my yoke upon you, and learn from me; for I am gentle and humble in heart, and you will find rest for your souls. For my yoke is easy, and my burden is light.’
(New Revised Standard Version Bible: Anglicized Edition, copyright © 1989, 1995 National Council of the Churches of Christ in the United States of America. Used by permission. All rights reserved worldwide. http://nrsvbibles.org)