Capital gains taxes on sell property

[Horacio Gutierrez]

Hello,

Say I sold a home and I paid capital gain taxes because I lived in there home more than 1 year. Where my capital gain was $50,000 my capitals gains tax bracket was 10% which leaves with $45000 profit. Do I have to add those $45000 to my income and then I pay taxes and my ordinary tax bracket wiil be the $45000 plus my work income, do I get taxed twice?

Thanks,