Question 601512
Since BD bisects ABC, this means that 


ABD = (1/2)ABC 


or 



2ABD = ABC


Plug the expressions in and solve for x


2ABD = ABC


2(2x+22) = 8x


4x+44 = 8x


44 = 8x-4x


44 = 4x


44/4 = x


11 = x


x = 11


Now plug this back into ABD


ABD = 2x+22


ABD = 2(11)+22


ABD = 22+22


ABD = 44


So the measure of angle DBC is 44 degrees (since angle ABD and DBC are equal in measure)