X= 17
These are vertical angles since they are opposite angles made by two intersecting lines. And vertical angles are congruent so we would set them equal to each other.
6x-19 = 3x + 32
Subtract 3x from both sides.
3x - 19 = 32
To isolate 3x on one side add 19 to both sides.
3x= 51
Divide by 3 on both sides.
X = 17