I think there is an error in this solution I have been trying to reconcile this solution with my work for hours now. Could someone please help me confirm whether the solution provided below is incorrect?
I get a solution of X > -3/2, the provided solution is X < 3/2


The solution is incorrect. In the first passage both sides of $$\frac 58-\frac x3>\frac18-\frac23x$$ are multiplied by $24$. But in the proposed solution "$-\frac x3$" becomes "$-8\cdot 3x$", instead of "$-8x$".
