tooth and nail
tooth and nail {adv. phr.}
With all weapons or ways of fighting as hard as possible; fiercely. — Used after "fight" or a similar word.
When the Indian girl was captured, she fought tooth and nail to get away.
The farmers fought tooth and nail to save their crops from the grasshoppers.
His friends fought tooth and nail to elect him to Congress.
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Source: A Dictionary of American Idioms