Solving equations with lambert w function  

There's no explanation as to why the given solution is helpful/useful for anything though.

It seems like the exponent needs to match the added x term to work out. I made a gen solution doing the same process. AB^(Cx^n) + Cx^n = D x^n = [-W(AB^D * lnB)/lnB + D] / C If there’s a way to do it where they don’t need to match as Cx^n, what is it?

I don't have a clue what that whole explanation is. What i do know is: 2X+X=3X. So 4:3=1.666667 so X is 1.66667 in my head