[tex]\frac{x+2}{x} = \frac{x-1}{x+3} \\\frac{x+2}{x} - \frac{x-1}{x+3} = 0 \\\frac{(x+2)*(x+3)}{x} - \frac{(x-1)*(x)}{x+3} = 0\\\frac{(x^{2} + 3x+2x+6)}{(x)*(x+3)} - \frac{(x^{2} -x)}{(x+3)*(x)} = 0\\\frac{x^{2} +5x +6}{x^{2} +3x} - \frac{x^{2} -x}{x^{2} -3x} = 0\\\frac{x^{2} +5x +6 - x^{2} +x}{x^{2} -3x} = 0 \\\frac{6x+6}{x^{2} -3x} = 0 \\(6x+6)(x^{2} -3x) = 0 \\6(x+1)x(x-3) = 0 \\x = -1 \\x = 3 \\x = 0 \\[/tex]
