No way to remove songs from playlist on iphone

I admit I am not that saavy with itunes after having my phone 7 yrs, but I had no trouble until they changed quite a while back to this new interface they now use. I am trying to remove songs from the playlist, it has an edit button but it doesn't do anything. you can click, Touch the song it does nothing swipe the song it does nothing all it does is play the song I don't want to play the song I wanted to delete this song. So then I click the done button even though I didn't do anything to start with. What's the point of having an edit button if it doesn't work?