[tex]\begin{gathered} 13-\frac{3}{2}x=37 \\ \text{Multiply both sides by -1:} \\ \frac{3}{2}x-13=-37 \\ \text{Add 13 to both sides:} \\ \frac{3}{2}x=-37+13 \\ \frac{3}{2}x=-24 \\ \text{Multiply both sides by 2/3} \\ x=-24\cdot(\frac{2}{3}) \\ x=-16 \end{gathered}[/tex]