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x+3/x+5=x-1/x-3
We move all terms to the left:
x+3/x+5-(x-1/x-3)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-3)!=0We get rid of parentheses
x∈R
x+3/x-x+1/x+3+5=0
We multiply all the terms by the denominator
x*x-x*x+3*x+5*x+3+1=0
We add all the numbers together, and all the variables
8x+x*x-x*x+4=0
Wy multiply elements
x^2-1x^2+8x+4=0
We add all the numbers together, and all the variables
8x+4=0
We move all terms containing x to the left, all other terms to the right
8x=-4
x=-4/8
x=-1/2
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