Perform the indicated operation. $$ \frac{x+6}{x^{2}-2 x-8}+\frac{x+9}{x^{2}-5 x-14} $$

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Calculate or simplify the expression $$ (x+6)/(x^2-2*x-8)+(x+9)/(x^2-5*x-14) $$.
Simplify the expression by following steps:
- step0: Solution:
  $$\frac{\left(x+6\right)}{\left(x^{2}-2x-8\right)}+\frac{\left(x+9\right)}{\left(x^{2}-5x-14\right)}$$
- step1: Remove the parentheses:
  $$\frac{x+6}{x^{2}-2x-8}+\frac{x+9}{x^{2}-5x-14}$$
- step2: Factor the expression:
  $$\frac{x+6}{\left(x-4\right)\left(x+2\right)}+\frac{x+9}{\left(x-7\right)\left(x+2\right)}$$
- step3: Reduce fractions to a common denominator:
  $$\frac{\left(x+6\right)\left(x-7\right)}{\left(x-4\right)\left(x+2\right)\left(x-7\right)}+\frac{\left(x+9\right)\left(x-4\right)}{\left(x-7\right)\left(x+2\right)\left(x-4\right)}$$
- step4: Rewrite the expression:
  $$\frac{\left(x+6\right)\left(x-7\right)}{\left(x-4\right)\left(x+2\right)\left(x-7\right)}+\frac{\left(x+9\right)\left(x-4\right)}{\left(x-4\right)\left(x+2\right)\left(x-7\right)}$$
- step5: Transform the expression:
  $$\frac{\left(x+6\right)\left(x-7\right)+\left(x+9\right)\left(x-4\right)}{\left(x-4\right)\left(x+2\right)\left(x-7\right)}$$
- step6: Multiply the terms:
  $$\frac{x^{2}-x-42+\left(x+9\right)\left(x-4\right)}{\left(x-4\right)\left(x+2\right)\left(x-7\right)}$$
- step7: Multiply the terms:
  $$\frac{x^{2}-x-42+x^{2}+5x-36}{\left(x-4\right)\left(x+2\right)\left(x-7\right)}$$
- step8: Calculate:
  $$\frac{2x^{2}+4x-78}{\left(x-4\right)\left(x+2\right)\left(x-7\right)}$$
- step9: Calculate:
  $$\frac{2x^{2}+4x-78}{x^{3}-9x^{2}+6x+56}$$
The result of the operation $$ \frac{x+6}{x^{2}-2x-8}+\frac{x+9}{x^{2}-5x-14} $$ is $$ \frac{2x^{2}+4x-78}{x^{3}-9x^{2}+6x+56} $$
$$ \frac{2x^{2}+4x-78}{x^{3}-9x^{2}+6x+56} $$

Perform the indicated operation.

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