If you feel something is wrong on your report but Equifax can't change it, you can add a Notice of Correction to your credit report.
Equifax may be unable to remove this information, but you can write this notice with up to 200 words to explain the reason behind why this is showing up (e.g. a period of bad debt that came about due to ill-health etc.).
When writing your notice, please be aware that it must be completely correct, suitable for publication and mustn't damage someone else's reputation. To add a Notice of Correction to your credit report, you’ll need to fill in a dispute form to get Equifax to add this directly to your report: raise a dispute