How to delete music off of an iphone with iOS 7?

I'm so frustrated. I've read answers where you turn off the "show all music" option but none of the songs will go off. The ones I want off have the cloud icon next to them so I download them, and then swipe to delete but they don't go anywhere. How do I get these songs off? I've tried syncing my iPhone with my computer iTunes but nothing works and they won't go away.

If you want to erase all your music, go to settings, then general. Go to usage, then music. There you will find something called all data (can't make sure) swipe it from right to left, there you can delete all your music. But if you want to delete only selected songs, use swipe and delete. By doing so, the song only gets deleted from the iPhone. But it is still shown in your library in your computer because the music file is in your computer. Also you can try this, go to your iPhone from iTunes from the computer, there you will find a tab called On this iPhone, (top right) there select the media files you want to delete. Hope this will help.

You can uncheck the music on your iTunes library first, and then sync iPhone with iTunes, the music will be deleted off your iPhone. If iTunes not works, you can use some third party software like this iPhone file manager. It can help you delete iPhone music easily. Hope it helps you.