Answer:
[tex]x=13[/tex]
Step-by-step explanation:
By the definition of an angle bisector, we have that [tex]8x-23=5x+16[/tex].
We can add [tex]23[/tex] to both sides to get [tex]8x=5x+39[/tex].
We can then subtract [tex]5x[/tex] from both sides to get [tex]3x=39[/tex].
We can finally divide both sides by [tex]3[/tex] to get [tex]\boxed{x=13}[/tex]
