I like how all those autists fail to give a single alternative to Lang's BM that is of the same topic. They might aswell just recommend Mac Lane's Category Theory since they are so off-topic from what is a highschool algebra book.
I myself found out that there are really no good alternatives to it, Lang's BM is best thing we have for pre-univeristy book (non-calculus) and the only thing that comes close is Gelfand's collection (Algebra, Trigonometry, Functions and Graphs and Method of Coordinates) but is a lot less rigorous.
There is also Axler's Precalculus, but it's heavy focused on literal precalculus so it does not go rigorous and deep into the Algebra like Lang's BM. Not recommended.
There is also Stitz & Zeager Precalculus which is really good but very long (1000+ pages) with hard exercises and is arguably closest thing to Lang's BM.
Also check out: Elementary Mathematics from a Higher Standpoint: Volume I: Arithmetic, Algebra, Analysis by Felix Klein. I know nothing about this book but it seems to fit as a reasonable alternative for someone who knows Algebra atleast.
Lang's BM is underrated here and people meme it a lot because Lang is a meme author, but the book is really good and theree are really no good alternatives to copmare it to so it's the best we have. So definetly read Basic Mathematics if you have to!