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Related to budged: budget, budget deficit

won't budge an inch

Will not move, change, or shift in any way at all. Once my brother gets his mind made up, he won't budge an inch, so don't bother trying to reason with him. I can't believe how tight this bolt is on here—it won't budge an inch!
See also: budge, inch

not budge/give an inch

to refuse to change your opinion or agree to even very small changes that another person wants I keep asking her to think again, but she won't budge an inch. (sometimes + on ) He refuses to give an inch on health and safety issues.
See trust an inch
See also: budge, inch