1)
[tex]\frac{-x}{x+2}=x; \ x\neq-2\\\\x(x+2)=-x\\\\x^2+2x=-x\\\\x^2+2x+x=0\\\\x^2+3x=0\\\\x(x+3)=0\\\\\boxed{x=0}\\\\x+3=0\longrightarrow\boxed{x=-3}[/tex]
2)
[tex]\frac{2x-7}{x}=-5; \ x\neq0\\\\2x-7=-5x\\\\2x+5x=7\\\\7x=7 \ \ /:7\\\\\boxed{x=1}[/tex]
