x/x-1+5=1/x-1

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



x/x-1+5=1/x-1
We move all terms to the left:
x/x-1+5-(1/x-1)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-1)!=0
x∈R
We add all the numbers together, and all the variables
x/x-(1/x-1)+4=0
We get rid of parentheses
x/x-1/x+1+4=0
Fractions to decimals
-1/x+1+4+1=0
We multiply all the terms by the denominator
1*x+4*x+1*x-1=0
We add all the numbers together, and all the variables
6x-1=0
We move all terms containing x to the left, all other terms to the right
6x=1
x=1/6
x=1/6

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