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