The actions (... to the right of the issue view) will have a "delete" option in it, if you have the permission to delete issues in that project. You can also delete using "bulk edit" if you have permission for that (it still requires you to have delete rights in the project(s))
If you don't have delete, talk to your administrators.
However, it is strongly recommended that you do not allow delete. Deleted issues are, well, deleted. You can't get them back without going to backups. Most JIRA admins set up a workflow that allows a quick "created in error" closing route, a security scheme to hide 'deleted' issues, or a wastebin project to move them to, rather than allow delete.
I have multiple projects that use variations of the same base workflow. The variations depend on the requirements of the project or issue type. The variations mostly come in the form of new statuses ...
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