because the line BC bisects the angle ABC we can do the next equality
the angles DBC and ABD are equals
angle ABD = angle DBC
the value of ABD = 3x+37
the value of DBC = 8x-33
then we can do the next equality with the values
3x+27=8x-33
we need to clear x, so the terms of x will go to the right side and the terms without x will go to the left side
27+33=8x-3x
60=5x
we can change the sides in order to have x
5x=60
x=60/5
x=12
angle DBC=8(12)-33=63
the angle DBC is 63°
