Question 811452
As written, your equation says, {{{-4/x-1=7/2-x+3/x+1}}}
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Is that what you have?  If not, do you have, {{{(-4)/(x-1)=7/(2-x)+3/(x+1)}}} ?
Guessing that you have the second equation, multiply left and right sides of the equation by (x-1)(2-x)(x+1), which is the simplest common denominator, and simplify; and continue solving according to what you already have learned.




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The second STEP will result in {{{-4(2-x)(x+1)=7(x-1)(x+1)+3(2-x)(x-1)}}}
and third step may be {{{-4(2x-x^2+2-x)=7(x^2-1)+3(2x-x^2-2+x)}}}