Managers - advice on dealing with staff who just don’t listen??

I’ve been a line manager for a little while now and I tend to adopt the approach of trusting people to do what is expected of them.

There’s someone in my team though who just WON’T listen. Tell everyone to do something in a team meeting, they won’t. Tell them individually to do something, they say they will but they won’t. Remind them, they have a reason why its not done and say they’ll do it. Spoiler alert, they don’t.

I give them timeframes to get stuff done and then chase it up if not done but I feel like I’m micromanaging and almost nagging, it severs working relationships which I don’t want to do.

Does anyone have any tips?