D&C 82

 As the Lord gave instructions on the law of consecration and the United Order, He taught - 

"Therefore, I give unto you this commandment, that ye bind yourselves by this covenant, and it shall be done according to the laws of the Lord.

16 Behold, here is wisdom also in me for your good.

17 And you are to be equal, or in other words, you are to have equal claims on the properties, for the benefit of managing the concerns of your stewardships, every man according to his wants and his needs, inasmuch as his wants are just—"  (Doctrine and Covenants 82:15–17)

In my mind, "equal claims" does not mean that everyone owns the same property.  In my mind, each has claim on their own property or stewardship as explained by - 

"...all this for the benefit of the church of the living God, that every man may improve upon his talent, that every man may gain other talents, yea, even an hundred fold, to be cast into the Lord’s storehouse, to become the common property of the whole church—

19 Every man seeking the interest of his neighbor, and doing all things with an eye single to the glory of God."  (Doctrine and Covenants 82:18–19)