find the value of x (picture provided)

Answer:
x = 53
Step-by-step explanation:
The two angles identified are alternate exterior angles. Since the lines are parallel, alternate exterior angles are equal.
2x+15 = 3x-38
Subtract 2x from each side
2x-2x+15 = 3x-2x-38
15 = x-38
Add 38 to each side
15+38 = x-38+38
53 = x
Answer: x= 58 degrees
Step-by-step explanation:
You know that the angle 2x+15 is corresponding to the angle vertical of 3x-38. After you conclude that you can just solve the equation 2x+15=3x-38 and you will get your answer of x=58.