we know that
side AB is parallel to side CD
then
∠A=∠D
∠B=∠C
therefore
(2x+6)/10=(x+6)/8-------------> 8*(2x+6)=10*(x+6)------> 16x+48=10x+60
16x-10x=60-48----------> 6x=12---------> x=2
so
AE=2x+6-------> 2*2+6--------> AE=10
the answer is AE=10 units