let
the number = x
[tex]\begin{gathered} 2x-5=\frac{1}{2}(3x-3) \\ 2x-5=\frac{3x}{2}-\frac{3}{2} \\ 2x-\frac{3x}{2}=-\frac{3}{2}+5 \\ \frac{4x-3x}{2}=\frac{-3+10}{2} \\ \frac{x}{2}=\frac{7}{2} \\ 2x=14 \\ x=\frac{14}{2} \\ x=7 \end{gathered}[/tex]The number is 7