can someone please help me find the value of X?

Given data:
The given triangle.
The expression for the angle bisector theorem is,
[tex]\begin{gathered} \frac{x}{x+6}=\frac{8}{20} \\ 20x=8x+48 \\ 12x=48 \\ x=4 \end{gathered}[/tex]Thus, the value of x is 4, so last option is correct.