Respuesta :

These are vertical angles so they are congruent.
You can set them equal to each other

5x+12=6x-10
-5x -5x

12= x-10
+10 +10

X=22
X=22

Step by Step
5x + 12 = 6x - 10 (subtract both sides by 5x)
- 5x -5x

12=x - 10 (then add both sides by 10)
+10 +10

So now, X = 22