can someone please help me find the valu of X?

Apply side splitter theorem
18 /9 = 24-x / x
Solve for x
[tex]\frac{18}{9}=\frac{24-x}{x}[/tex][tex]18x=(24-x)9[/tex][tex]18x=216-9x[/tex][tex]18x+9x=216[/tex][tex]27x=216[/tex][tex]x=\frac{216}{27}[/tex][tex]x=\text{ 8}[/tex]