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While the formulas differ between EQ and TU, the FICO scores should come close. The reporting of your CA, LVNV, can change up your scores by quite a bit. When comparing, look at the reported or updated dates. I bet TU updates frequently, thus producing the recent late mention, and EQ's LVNV TL hasn't updated in a while. Also, IME, a baddie reporting the worst delinquency as a CA on one and a 120 day late on another can produce a score change. Other than LVNV, make sure your have the same exact TLs reporting w/ the same balances. Any differential there can easily impact your scores.
If you wanted to tackle the CA, send them a DV letter. It should be noted that if the score differential is due to EQ not updating, then you could see a score drop after they receive the letter and update. Certainly a risk, but if you aren't applying for anything anytime soon, then worth it, IMO.
A single account listed as COLLECTION would have a significant impact on your overall score. I would look into that account and offer PFD.
My TU score is lower than my EQ score also. I kept showing late payments as one of my reasons for having a bad score but I haven't had any late payments on my accounts since January and it was on only one account. I noticed that LVNV is updating my account every month as paying late on TU. I just sent them a PFD to LVNV last week. I hope they take my offer of $200 on a balance of $637 from 2005. After I realized what they are doing I realized this is the one that I should be really working towards getting deleted or paid of so I can get the late payments gone from my CR.