After you eblink{log in=>https://eventbrite.com/login}, access the account menu and select eblink{Account Settings=>https://www.eventbrite.com/account}.
Account Settings is located in the top of the options menu.
You'll notice there isn't a way to add a new card in the eblink{Credit Cards=>https://www.eventbrite.com/creditcards target=_blank} section of your Eventbrite account.
The only way to add a saved credit/debit card to your Eventbrite account is to select the option to "Save billing and payment info for easy ordering" when registering for an event.
The next time you eblink{register for a paid event=>https://www.eventbrite.com/support/articleredirect?anum=7434} (an event where tickets are offered at-cost) that uses Eventbrite Payment Processing, you'll have the option to add a new card to your Eventbrite account.
Select the trash can icon next to the credit/debit card you want to delete, then choose "OK" to confirm that you want to delete that card.
Once the card has been successfully removed from your Eventbrite account, it will disappear your list of saved cards, and won't appear when you register for future events.
EXAMPLE: Tofu's credit card recently expired, so he deletes the old card from his Eventbrite account so it doesn't appear as an option when he's registering for events.
TIP: If you want to add a new card to your account, simply use that card the next time you buy tickets on Eventbrite. As long as you're logged into your Eventbrite account, you'll see the option to "Save billing and payment info for easy ordering."
Just be careful about sharing your Eventbrite login information, and make sure to log out after you're finished ordering tickets!