Answer :
[tex]\begin{gathered} \frac{1}{2}x+4=\frac{2}{3}x+1 \\ \\ \frac{1}{2}x-\frac{2}{3}x+4=1 \\ \\ \frac{3-4}{6}x+4=1 \\ -\frac{1}{6}x=1-4 \\ \\ -\frac{1}{6}x=-3 \\ \\ -x=-6\cdot3 \\ x=18 \\ \\ \text{ thus x=18} \end{gathered}[/tex]
