Question 1074736
(4)/(x-7x)-(2y)/(y-2)=(-1)/(2xy+x)


{{{(4)/(x-7x)-(2y)/(y-2)=(-1)/(2xy+x)}}}


One of the denominators simplifies.
{{{(-4)/(6x)-(2y)/(y-2)=(-1)/(2xy+x)}}}


And for clarity,

{{{(-4)/(6x)-(2y)/(y-2)=(-1)/(x(2y+1))}}}


{{{(-2)/(3x)-(2y)/(y-2)=(-1)/(x(2y+1))}}}


Simplest common denominator is  {{{3x(y-2)(2y+1)}}}.

Multiply left and right sides of the equation by {{{3x(y-2)(2y+1)}}}.
Simplify and then solve.