Question 88737
{{{(x+2)/(x+1)= 1/(x+1) + 2}}} Does your problem look like this?


{{{(x+1)((x+2)/(x+1))= (x+1)(1/(x+1) + 2)}}} Multiply both sides by the LCD {{{x+1}}}


{{{x+2= 1+2(x+1)}}}  Distribute


{{{x+2= 1+2x+2}}}  Distribute again


{{{x+2=2x+3}}}  Combine like terms


{{{x=2x+1}}}  Subtract 2 from both sides


{{{-x=1}}}  Subtract 2x from both sides


{{{x=-1}}}  Multiply both sides by -1


Check:

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


{{{1/0= 1/0 + 2}}} Since dividing by zero is not possible, there are no solutions.