Answer: To add and simplify the given expression, we need a common denominator. The common denominator is (x - 3)(x + 5). So, let's rewrite each fraction with the common denominator:
x/(x - 3) + 2/(x + 5) = x(x + 5)/[(x - 3)(x + 5)] + 2(x - 3)/[(x - 3)(x + 5)]
Now, we can combine the fractions:
= (x^2 + 5x + 2x - 6)/[(x - 3)(x + 5)]
= (x^2 + 7x - 6)/[(x - 3)(x + 5)]
Finally, we can factor the numerator, if possible:
= [(x - 1)(x + 6)]/[(x - 3)(x + 5)]
So, the simplified expression is (x - 1)(x + 6)/[(x - 3)(x + 5)].