Question 316630
Multiply both sides by the common denominator, {{{(x-1)(x+1)}}}
{{{x/(x+1)+5/(x-1)=1}}}
{{{x(x-1)+5(x+1)=(x+1)(x-1)}}}
{{{x^2-x+5x+5=x^2-1}}}
{{{x^2+4x+5=x^2-1}}}
{{{4x=-6}}}
{{{x=-6/4}}}
{{{highlight(x=-3/2)}}}