[tex]\frac{5x-2}{5x}+\frac{x-1}{x+1}=\frac{(5x-2)(x+1)}{5x(x+1)}+\frac{5x(x-1)}{5x(x+1)}=\frac{5x^2+5x-2x-2+5x^2-5x}{5x(x+1)}=\frac{10x^2-2x-2}{5x^2+5x}=\frac{2(5x^2-x-1)}{5x(x+1)}[/tex]
