The Collaborative International Dictionary of English v.0.48:

Equibalance \E`qui*bal"ance\, n. [Equi- + balance.]
   Equal weight; equiponderance.
   [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Equibalance \E`qui*bal"ance\, v. t. [imp. & p. p.
   Equibalanced; p. pr. & vb. n. Equibalancing.]
   To make of equal weight; to balance equally; to
   counterbalance; to equiponderate.
   [1913 Webster]