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