overbalance vs turn the balance against

overbalance

verb
  • To throw (someone or something) off balance; to cause to capsize. 

  • To lose one's balance; to fall over. 

  • To be more important than; to outweigh. 

  • To cause an imbalance in (something) by means of excess weight or numbers. 

noun
  • Excess of weight or value; something more than an equivalent. 

turn the balance against

How often have the words overbalance and turn the balance against occurred in a corpus of books? (source: Google Ngram Viewer )