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

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



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

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