How to delete apps from an iphone 4?

My Iphone is acting strange, i'm trying to delete apps. I have already held the app down and got it to wiggle but, when it does wiggle the X does not appear. Please help, i'm running out of space. Thank you

Added (1). Its not apps that were already one there, these are games that i have downloaded

Added (2). None of these are working! The apps are ones i have downloaded

You can't delete apps that were already on the iPhone, only the apps that you have downloaded from the App Store.

You can't delete the apps that came with the phone.
Go to settings, general, then usage then tap the app you want to delete then tap delete.

If the X is not appearing then most likely it is because the app is a built in app on the phone that can't be deleted. However, you can go to settings under general and select usage and then select the app and delete it from there.

try doing it through icloud