We can see 180-(3x-22) is the angle in the triangle, this results in 180+22-3x= 202-3x, we add the three angles giving 202-3x+x+80=180,
282-2x=180
-2x=-102
x=61
By Linear pair property,
angle adjacent to (3x-22) = 180 - 3x + 22
= 202 - 3x
By Angle sum property of triangles,
202 - 3x + x + 80 = 180
⇒282 -2x = 180
⇒2x = 282 - 180
⇒ 2x = 102
x = 51º