My basil has a weird problem that seems to be spreading on the leaves. It's basically white spots that are thinner surrounded by black spots.
I tried to find information online but couldn't find this.
Thanks for the help!
This looks like an insect that eats the material between the walls of the leaves: a leaf miner. You can see the translucent areas where the leaves have been eaten and the black spots are "frass" or excreta from the adults.
Seeing as this is a plant that you want to be able to consume the leaves of this makes applying any pest control difficult. As it is an annual I agree that throwing the plant out is the most effective method of control.
You should also check your other plants in case they might have issues as well.
I suspect this is thrip as the damage looks similar to here. If I'm right you should be able to use a magnifying glass and see the adults or larvae on the undersides of the leaves. The adults fly and can spread to many other plants.