Can someone help and please make sure the answer is right :)

Answer: x =9
Step-by-step explanation:
These are corresponding angles, meaning they are equal. (the same angle). Set them equal to each other to solve. 13x+ 3 = 12x +12. Subtract 3 from both sides. 13x = 12x + 9. Subtract 12x from both sides. X = 9