Subtract. $$ \frac{6}{x}-\frac{5}{x+2} $$ Simplify your answer as much as possible. П̆

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Calculate or simplify the expression $$ \frac{6}{x}-\frac{5}{x+2} $$.
Simplify the expression by following steps:
- step0: Solution:
  $$\frac{6}{x}-\frac{5}{x+2}$$
- step1: Reduce fractions to a common denominator:
  $$\frac{6\left(x+2\right)}{x\left(x+2\right)}-\frac{5x}{\left(x+2\right)x}$$
- step2: Rewrite the expression:
  $$\frac{6\left(x+2\right)}{x\left(x+2\right)}-\frac{5x}{x\left(x+2\right)}$$
- step3: Transform the expression:
  $$\frac{6\left(x+2\right)-5x}{x\left(x+2\right)}$$
- step4: Multiply the terms:
  $$\frac{6x+12-5x}{x\left(x+2\right)}$$
- step5: Subtract the terms:
  $$\frac{x+12}{x\left(x+2\right)}$$
- step6: Multiply the terms:
  $$\frac{x+12}{x^{2}+2x}$$
The simplified form of the expression $$\frac{6}{x}-\frac{5}{x+2}$$ is $$\frac{x+12}{x^{2}+2x}$$.
The simplified form is $$ \frac{x+12}{x^{2}+2x} $$.

Subtract. \[ \frac{6}{x}-\frac{5}{x+2} \] Simplify your answer as much as possible. П̆

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