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2/x+1=-5/x+3
We move all terms to the left:
2/x+1-(-5/x+3)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x+3)!=0We get rid of parentheses
x∈R
2/x+5/x-3+1=0
We multiply all the terms by the denominator
-3*x+1*x+2+5=0
We add all the numbers together, and all the variables
-2x+7=0
We move all terms containing x to the left, all other terms to the right
-2x=-7
x=-7/-2
x=3+1/2
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