For #1, get a common denominator on the left side by multiplying the bottom of each fraction by the top of the other fraction:

Distribute your terms in the top and bottom. Then cross multiply with the right side. Collect like terms...Can you go from there?

For #2, factor the denominator of the middle term, you should get (x+7)(x-3) then you should know what to do from there.

Good luck!