Question

How do you simplify this equation

Answer 1

$\bf \cfrac{\quad2-\frac{4}{x+2} \quad }{5+\frac{10}{x+2}}\implies \cfrac{\stackrel{LCD~of~x+2}{\frac{2(x+2)-4}{x+2}}}{\stackrel{LCD~of~x+2}{\frac{5(x+2)+10}{x+2}}}\implies \cfrac{\stackrel{distributing}{\frac{2x+4-4}{x+2}}}{\stackrel{distributing}{\frac{5x+10+10}{x+2}}}\implies \cfrac{\quad\frac{2x}{x+2} \quad }{\frac{5x+20}{x+2}} \\\\\\ \cfrac{2x}{\underline{x+2}}\cdot \cfrac{\underline{x+2}}{5x+20}\implies \cfrac{2x}{5x+20}\implies \cfrac{2x}{5(x+4)}$