Question 888527
X+1  -  2x+1 =  5-x^2
___    _____    ______
X+5    x-2      x^2+3x-10


Not a good way to write it.


Try it in pure text this way:
(x+1)/(x+5)-(2x+1)/(x-2)=(5-x^2)/(x^2+3-10)


Rendering tags will make it show like:
{{{(x+1)/(x+5)-(2x+1)/(x-2)=(5-x^2)/(x^2+3-10)}}}


Can you factor the numerator of the right-hand member?

{{{(x+1)/(x+5)-(2x+1)/(x-2)=(5-x^2)/((x-2)(x+5))}}}


The lowest (or simplest) common denominator is {{{(x+5)(x-2)}}}.  Multiply the left member AND the right member this {{{(x+5)(x-2)}}} and this will help in simplifying the equation.  That result omitting the actual step gives this:


{{{highlight_green((x+1)(x-2)-(2x+1)(x+5)=5-x^2)}}}

Continuing from there,
{{{x^2-x-2-(2x^2+11x+5)=5-x^2}}}
{{{x^2-x-2-2x^2-11x-5=5-x^2}}}
{{{-x^2-12x-7=5-x^2}}}
{{{-12x-7=5}}}
{{{12x+7=-5}}}
{{{12x=-5-7}}}
{{{12x=-12}}}
{{{highlight(x=-1)}}}