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3/x-5=-1/x+3
We move all terms to the left:
3/x-5-(-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
3/x+1/x-3-5=0
We multiply all the terms by the denominator
-3*x-5*x+3+1=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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