D&C 78

 As the Lord provides instruction for the establishment for the poor of His people, He explains the purpose - 

"That you may be equal in the bonds of heavenly things, yea, and earthly things also, for the obtaining of heavenly things.

6 For if ye are not equal in earthly things ye cannot be equal in obtaining heavenly things;

7 For if you will that I give unto you a place in the celestial world, you must prepare yourselves by doing the things which I have commanded you and required of you."  (Doctrine and Covenants 78:5–7)

The only definition the Lord has provided on "equality if - 

"...every man equal according to his family, according to his circumstances and his wants and needs."  (Doctrine and Covenants 51:3)

To me, it sounds like, equal in opportunity and consecration.  A matter of the heart.  President J. Reuben Clark Jr. said - 

“One of the places in which some of the brethren are going astray is this: There is continuous reference in the revelations to equality among the brethren, but I think you will find only one place where that equality is really described, though it is referred to in other revelations. That revelation (D. & C. 51:3) affirms that every man is to be ‘equal according to his family, according to his circumstances and his wants and needs.’ (See also D. & C. 82:17; 78:5–6.) Obviously, this is not a case of ‘dead level’ equality. It is ‘equality’ that will vary as much as the man’s circumstances, his family, his wants and needs, may vary.” (In Conference Report, October 1942, page 55.)