Answer:
x = 2
Step-by-step explanation:
If ΔABC~ΔAED then:
[tex]\dfrac{AC}{AD}=\dfrac{BC}{ED}\\\\\\\dfrac{x+4}{4}=\dfrac{3}{2}\\\\\dfrac{x+4}{4}=\dfrac64\\\\x+4=6\\\\x=2[/tex]