Black Brush Algae (BBA) is a common problem in tanks with high light and CO2, especially if the CO2 levels are unstable. It can also appear in low light tanks without CO2 if the carbon levels fluctuate due to frequent water changes.
To get rid of BBA, make sure your CO2 levels are stable by using a drop checker and bromo blue solution. If you're using DIY CO2, it may be hard to keep BBA at bay, but you can try using a liquid carbon supplement and dosing it daily. Another helpful solution is to add algae eating shrimp to your tank. If your plants are affected by BBA, you'll need to trim and discard the affected parts.
To prevent BBA from returning, make sure to improve your water circulation using a pump like the Hydor Circulation Pump. Keep in mind that it's unlikely BBA will die off on its own, so you'll need to manually remove it by trimming plants and physically cutting them back.