Question 83785
If I understand the problem as you have written it:
(5x-3)/6 - (x+3)/6

since the denominators are already the same, we can rewrite the problem as such:

[(5x-3)-(x+3)]/6

now we can subtract like terms in the numerator:
(5x-x-3-3)/6 (I have rewritten the numerator)
(4x-6)/6

now to simplify:
2x-3/3 (your answer) as the terms have a common factor of 2.