Question 651501

the reciprocal of {{{(1-x)}}} is {{{1/(1-x)}}}

{{{x}}} if {{{1- 1/(1-x) =1 /(1-x)}}} will be:

{{{1- 1/(1-x) =1 /(1-x)}}}....both sides multiply by {{{(1-x)}}} to get a rid of denominator

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

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

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

{{{1-x =1+1}}}

{{{1-x =2}}}

{{{-x =2-1}}}

{{{-x =1}}}

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