5/x-3=1/x-1

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Solution for 5/x-3=1/x-1 equation:



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

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