We want to solve the proportion:
[tex]\frac{x-3}{x}=\frac{5}{8}[/tex]
For doing so, we remember that solving a proportion equivals to find the variable x. We will multiply means and extremes:
[tex]\begin{gathered} 8(x-3)=5\cdot x \\ 8x-24=5x \\ \text{Now, we solve for x:} \\ 8x-5x=24 \\ 3x=24 \\ x=\frac{24}{3}=8 \end{gathered}[/tex]
This means that the value of x is 8, which is the solution of the proportion.
