X-3/x+1=x-2/x+6

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Solution for X-3/x+1=x-2/x+6 equation:



X-3/X+1=X-2/X+6
We move all terms to the left:
X-3/X+1-(X-2/X+6)=0
Domain of the equation: X!=0
X∈R
Domain of the equation: X+6)!=0
X∈R
We get rid of parentheses
X-3/X-X+2/X-6+1=0
We multiply all the terms by the denominator
X*X-X*X-6*X+1*X-3+2=0
We add all the numbers together, and all the variables
-5X+X*X-X*X-1=0
Wy multiply elements
X^2-1X^2-5X-1=0
We add all the numbers together, and all the variables
-5X-1=0
We move all terms containing X to the left, all other terms to the right
-5X=1
X=1/-5
X=-1/5

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