Respuesta :

we have the following:

[tex]2\left(x-2\right)=3\left(x-3\right)[/tex]

solving for x:

[tex]\begin{gathered} 2\left(x-2\right)=3\left(x-3\right) \\ 2x-4=3x-9 \\ 3x-2x=9-4 \\ x=5 \end{gathered}[/tex]

therefore, the answer is 5