Check the picture below.
well, we know ∡CAD in blue is 100 and AB is bisecting that angle, so each angle made is 50 each, that means that ∡BAD = 50.
we also know that AE bisects ∡BAD, so each angle made from the bisection is 25 and 25, since ∡BAD is 50, half a pop, that means that ∡EAD = 25.
since ∡BAE = 25 = x + 5
x + 5 = 25
x = 20.
