Simplify (5x+1)/(x^2 + x -2)}- {3/(x+2)}

$$\\\frac{5x+1}{x^2 + x -2}- \frac{3}{x+2} \\\\ \frac{5x+1}{(x+2)(x-1)}- \frac{3}{x+2} \\\\ \frac{5x+1}{(x+2)(x-1)}- \frac{3(x-1)}{(x+2)(x-1)} \\\\ \frac{5x+1}{(x+2)(x-1)}- \frac{3x-3}{(x+2)(x-1)} \\\\ \frac{5x+1}{(x+2)(x-1)}+ \frac{-3x+3}{(x+2)(x-1)} \\\\ \frac{5x+1-3x+3}{(x+2)(x-1)}\\\\ \frac{2x+4}{(x+2)(x-1)}\\\\ \frac{2(x+2)}{(x+2)(x-1)}\\\\ \frac{2}{x-1}\\\\$$