Solve each of the following equations. Be sure to check your solutions.

1. $\frac { 3 } { x } + \frac { 2 } { x + 1 } = 5$ 

   Hint (a):

   Find a common denominator.

2. $x^{2} + 6x + 9 = 2x^{2} + 3x + 5$ 

   Hint (b):

   Set the equation equal to zero and factor.

3. $8 - \sqrt { 9 - 2 x } = x + 3$ 

   Hint (c):

   Subtract $8$ from both sides and then square both sides.