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