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