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


\begin{align}
\frac{5}{8} - \frac{x}{3} &> \frac{1}{8} -\frac{2x}{3} && \text{Multiply by } 24 \\
15 -8x &> 3 -16x \\
12 &> -8x && \text{Divide by $-8$ which changes the sign}\\
-\frac{3}{2} &< x
\end{align}
