(x-1)/(x+1)-(x+2)/(x-2)-3=0

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Solution for (x-1)/(x+1)-(x+2)/(x-2)-3=0 equation:



(x-1)/(x+1)-(x+2)/(x-2)-3=0
Domain of the equation: (x+1)!=0
We move all terms containing x to the left, all other terms to the right
x!=-1
x∈R
Domain of the equation: (x-2)!=0
We move all terms containing x to the left, all other terms to the right
x!=2
x∈R
We calculate fractions
((x-1)*(x-2))/((x+1)*(x-2))+(-(x+2)*(x+1))/((x+1)*(x-2))-3=0
We calculate terms in parentheses: +((x-1)*(x-2))/((x+1)*(x-2)), so:
(x-1)*(x-2))/((x+1)*(x-2)
We multiply all the terms by the denominator
(x-1)*(x-2))
Back to the equation:
+((x-1)*(x-2)))
We calculate terms in parentheses: +(-(x+2)*(x+1))/((x+1)*(x-2)), so:
-(x+2)*(x+1))/((x+1)*(x-2)
We multiply all the terms by the denominator
-(x+2)*(x+1))
Back to the equation:
+(-(x+2)*(x+1)))

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