if ABC ~ ADE then find the value of x

We have the following:
We can establish the following proportion
[tex]\frac{20+8}{2x+3}=\frac{20}{15}[/tex]solving for x
[tex]\begin{gathered} 28\cdot15=(2x+3)\cdot20 \\ 420=40x+60 \\ 40x=420-60 \\ x=\frac{360}{40} \\ x=9 \end{gathered}[/tex]Therefore, the value of x is 9