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x/x-5+5=5/x-5
We move all terms to the left:
x/x-5+5-(5/x-5)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-5)!=0We add all the numbers together, and all the variables
x∈R
x/x-(5/x-5)=0
We get rid of parentheses
x/x-5/x+5=0
Fractions to decimals
-5/x+5+1=0
We multiply all the terms by the denominator
5*x+1*x-5=0
We add all the numbers together, and all the variables
6x-5=0
We move all terms containing x to the left, all other terms to the right
6x=5
x=5/6
x=5/6
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