Question 1055130
{{{1/(1+1/(1-1/x))=2}}}



Start with the simplest rational sub-expression you can find, and work outward.
{{{1/(1+1/((x-1)/x))=2}}}


{{{1/((x+x-1)/x)=2}}}


{{{1/((2x-1)/x)=2}}}


{{{1*x/(((2x-1)/x)x)=2}}}


{{{x/(2x-1)=2}}}
Much less complicated now.


{{{x=2(2x-1)}}}


{{{x=4x-2}}}


{{{2=3x}}}


{{{x=2/3}}}