D&C 51

 Bishop Partridge is given more instructions for administering the law of consecration, where the Lord instructs - 

"Wherefore, let my servant Edward Partridge, and those whom he has chosen, in whom I am well pleased, appoint unto this people their portions, every man equal according to his family, according to his circumstances and his wants and needs."  (Doctrine and Covenants 51:3)

"And if he shall transgress and is not accounted worthy to belong to the church, he shall not have power to claim that portion which he has consecrated unto the bishop for the poor and needy of my church; therefore, he shall not retain the gift, but shall only have claim on that portion that is deeded unto him."  (Doctrine and Covenants 51:5)

"And thus all things shall be made sure, according to the laws of the land."  (Doctrine and Covenants 51:6)

It becomes clear that everything is about the individual and living according to the laws of Celestial life, where equality is defined differently, and ownership or stewardship is part of the law.  It is not communism or socialism.