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

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 \(\frac{x+12}{x^{2}+2x}\).