Taxes from Sellling some Equipment

Yes, it is long term capital gain reported on Schedule D.

N/A

The question is, what is personal or business property. If business property, then you should have depreciated it.

No. If it is personal property, it is ordinary gain. If it is business property, it is business gain, with the depreciation also being recaptured. For personal property I think you just enter $5,000 on Line Other Income of page 1, and for business property use form

Any amounts paid to improve the property would also add to the cost basis. But repairs do not add to the cost basis.

Personal use property is a capital asset. Any gain would be a capital gain, not ordinary.

Actually publication 550 says

Personal use property. Property held for personal use only, rather than for investment, is a capital asset, and you must report a gain from its sale as a capital gain. However, you cannot deduct a loss from selling personal use property.

So I guess you need Schedule D, the long term gains section.

Not so fast. This answer will technically depend on the taxpayer's accounting method.

True enough. My answer is based on the presumption that Alex is a cash basis taxpayer (as are almost all individuals).