Since BE bisects angle ABC, you know that angles ABE and EBC are congruent and have the same measure. This means
2x + 20 = 4x - 6
Solve for x:
(2x + 20) - 2x + 6 = (4x - 6) - 2x + 6
26 = 2x
26/2 = 2x/2
13 = x
Then angle ABE has measure 2*13 + 20 = 46º.
