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You'll have to use and enter a product or service item on the billable expense transaction. This way, the amount will be reported to your income account. I'll show you how.
From there, create an invoice from the billable expense.
Otherwise, you can record expenses as income. Just ensure to enable the Track reimbursed expenses as income feature in the QuickBooks Preferences.
Then, let's associate your expense account with the income account.
You can learn more about this through our Help section. Just press F1 while QuickBooks is open and type "billable expense" in the search field.
You might also want visit our Help articles page to learn more about navigating QuickBooks.
Let me know if you have further questions. I'll be around to help. Take care and have a great day.