EXPLANATION
By the Angles Subtended in Circles Theorem, we can assevere that 2x-10 is a half the measure of the angle 3x + 10.
2x - 17 = (1/2) (3x + 10)
Applying the distributive property:
2x - 17 = 1.5x + 5
Subtracting -1.5x to both sides:
2x - 1.5x - 19 = 5
Adding +19 to both sides:
0.5x = 5 + 17
Adding numbers:
0.5x = 22
Dividing both sides by 0.5:
x = 22/0.5
Simplifying:
x = 44
The answer is x=44