Algebra 2 Please Help?!?!

Hey can someone help me with these two problems. I will award best answer.

1. Subtract
x-5/x+7 - x+2/x-7

2.1/x-6 - 23-2x/(x-6)(x+5)

Subtract:
1).
(x - 5)/(x + 7) - (x + 2)/(x - 7)
= [(x - 7)(x - 5) - (x + 7)(x + 2)] / (x^2 - 7^2)
= [(x^2 -12x + 35) - (x^2 + 9x + 14)] / (x^2 - 7^2)
= -21x + 21 / (x^2 - 7^2)
= -21(x - 1) / (x + 7)(x - 7)

2).
1/(x - 6) - (23 - 2x)/[(x - 6)(x + 5)]
= (x + 5) - (23 - 2x)/(x - 6)(x + 5)
= (3x - 18) / (x - 6)(x + 5)
= 3(x - 6) / (x - 6)(x + 5)
= 3/(x + 5)