cryptarithm

Given the following cryptarithm, deduce the values of A, B, C, D, and E.

ABCDC
-BEAAC
---------
BADAD

c-c=d => d=0
0-a=a => a=5
c-5-1=0 => c=6
b-e=5, skip this one

5-b=b => no solutions
or
5-b-1=4-b=b => 4=2b => b=2
e>b (you need overflow)

2-e=5 => -e=5-2 => e=-3 = 7 (mod 10)

52606
27556
-------- -
25050