Akademik

класть на чашу весов
БРОСАТЬ/БРОСИТЬ <КЛАСТЬ/ПОЛОЖИТЬ> НА ЧАШУ <ЧАШКУ> ВЕСОВ что lit
[VP; subj: human]
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(often in refer, to one's professional reputation, authority, the prestige of one's firm etc) to use sth. in the hope of gaining the advantage or a victory in some matter or area:
- X бросил на чашу весов Y - X used Y in an attempt to tip <tilt> the scale(s) in his favor;
- X used Y in an attempt to turn the tide in his favor.

Большой русско-английский фразеологический словарь. — М.: ACT-ПРЕСС КНИГА. . 2004.