Question 831253
{{{1/(x-1)+1/(x-6)=7/6}}}
{{{6(x-6)+6(x-1)=7(x-6)(x-1)}}}
{{{6x-36+6x-6=7(x^2-7x+6)}}}
{{{12x-42=7x^2-49x+42}}}
{{{7x^2-61x+84=0}}}
{{{(x-7)(7x-12)=0}}}
Two solutions:
{{{x-7=0}}}
{{{highlight(x=7)}}}
and
{{{7x-12=0}}}
{{{7x=12}}}
{{{highlight(x=12/7)}}}