The value of x is 9
Explanation:Given the equation:
[tex]\frac{4}{x-8}=\frac{8}{2}[/tex]Multiply both sides by 2(x-8)
[tex]\begin{gathered} 4\times2=8(x-8) \\ 8=8(x-8) \end{gathered}[/tex]Divide both sides by 8
[tex]x-8=1[/tex]Finally, add 8 to both sides
[tex]x=1+8=9[/tex]