Grammar fix

back down

stop arguing or opposing

To stop insisting on your opinion or position, especially after realizing you cannot win or are wrong.

phrasal verbB2common

Hear it in context

Notice where the phrase sounds natural.

After a long discussion, he finally backed down and agreed to our plan.communication
In my opinion, it's important to know when to back down in a disagreement, especially if it helps maintain a good relationship.IELTS speaking

Pattern: back down (on/from something)

WrongHe backed down his demand.

RightHe backed down on his demand. / He backed down.

'Back down' is intransitive; you 'back down ON something', not 'back down something'.

Patternback down (on/from something)

Choose the version that sounds natural in speech.

Stiff He declined to relinquish his position in the dispute.

Natural He refused to back down.

'Relinquish his position' is formal; 'back down' is the everyday phrasal verb.

Words that usually travel with it.

'Back down' is about giving up your position, while 'stand your ground' means refusing to change your mind.