Answer:
x = 6
Explanation:
In order for lines p and q to be parallel, angle 2 and angle 6 must be equal. This is because of the Corresponding Angles Theorem, which states that if a transversal cuts through two parallel lines (p and q in this case), the resulting corresponding angles will be congruent (and 2 and 6 are corresponding angles)
You know that:
angle 2 = (7x - 3)
angle 6 = (6x + 3)
As stated before, in order for p and q to be parallel, angles 2 and 6 must be congruent, so to find x you need to solve the following equation:
7x - 3 = 6x + 3
Now, you just need to simplify:
7x - 3 = 6x + 3
= x - 3 = 3
= x = 6
So x = 6.