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An easier question, the cap gains would be 15% (except for higher incomes)?

Well, depends on how much 'higher' you consider 'higher' income to be. For singles, the cap gains brackets for 2020 are:
0% up to $40,000;
15% for $40,001 up to $441,450;
20% for $441,451 and up

But wait, there's more! There is also a net investment tax surcharge of 3.8% that kicks in on all investment income (gains, dividends and interest) that starts at $200,000 for single filers.

Here's an article that has details, and shows the brackets for other filing statuses

If the gain (made up number) was $300K then the taxes would be $45K? Obviously you can adjust the basis for improvements, etc.

$300k in capital gains alone for a single filer would trigger the 3.8% surcharge on part of the capital gain. How much of the gain will be subject to the surcharge will depend on how much other income you have. (And keep in mind, your realized gains from your taxable stock accounts are counted as part of those calculations.) Plus, with $300k in gains, if you have over $141,450 in taxable ordinary income, you would be pushed into the 20% rate for some of the gains. And the depreciation recapture will be counted as ordinary income.

And all of that is why you should consult with a tax professional in your situation. As I suggested previously, if you could delay the closing until January, that would allow you to not stack the gains from the sale of the house on top of the already realized gains from your taxable account. And if you, for instance, were to seller-finance the property (maybe with a balloon payment in 2024 or 2025 - before the rates revert), you could recognize a small part of the gain each year until the balloon payment was made. Or you may be able to do a 1035 exchange. But all of that advice would require a lot more information than you probably want to post on a public message board.

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