There is a Delete button in the Beginning Balances Journal for Projects, but it is not functional.  (Technically, it is functional but only if you remove every single line from the Journal 1 by 1.)  But...even though there is a select all option, when you select more than 2 lines the Remove lines button is greyed out.  So if you have a journal with 1,000's of lines, you'd have to remove each line 1 by 1.  And then (and only then) you can use the delete button.

I filed a support ticket and the response is that it is not a bug because it didn't work in the former version of AX / Operations either. LOL.  Please help us delete journals that we want don't want to post.

Under Review
Ideas Administrator

Thank you for your feedback. Currently this is not in our roadmap; however, we are tracking it and if we get more feedback and votes, we may consider it in the future.

Sincerely, Annette Bruer, PM, Microsoft