QB Issue Resolution:

Enter the payment, and use the equipment rental expense account as the expense for the payment.  Create the account in the chart of accounts if needed

Resolution for Issue 'How do I record construction equip rental costs in QuickBooks online? I rent const. equip. for my company to perform its service and am unsure how to enter the expense' available: Yes (Solved).
Source: Intuit Community forum.

How do I record construction equip rental costs in QuickBooks online? I rent const. equip. for my company to perform its service and am unsure how to enter the expense: this issue or error code is a known issue in Quickbooks Online (QBO) and/or Quickbooks. Support for this issue is available either by self-service or paid support options. Experts are available to resolve your Quickbooks issue to ensure minimal downtime and continue running your business. First try to resolve the issue yourself by looking for a resolution described below. If it is a complex issue or you are unable to solve the issue, you may contact us by clicking here or by using other support options.

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