Answer:
x = 24
Step-by-step explanation:
The corresponding sides of similar Δs are proportional.
ΔADE ~ ΔABC ⇒ [tex]\frac{AD}{AB}[/tex] = [tex]\frac{DE}{BC}[/tex] = [tex]\frac{AE}{AC}[/tex]
AD = x + 8 ; DE = 8
AB = x ; BC = 6
[tex]\frac{x+8}{x}[/tex] = [tex]\frac{8}{6}[/tex] ⇔ 8x = 6(x + 8) ⇒ x = 24
