1/x-1+5=21/x-1

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Solution for 1/x-1+5=21/x-1 equation:



1/x-1+5=21/x-1
We move all terms to the left:
1/x-1+5-(21/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
1/x-(21/x-1)+4=0
We get rid of parentheses
1/x-21/x+1+4=0
We multiply all the terms by the denominator
1*x+4*x+1-21=0
We add all the numbers together, and all the variables
5x-20=0
We move all terms containing x to the left, all other terms to the right
5x=20
x=20/5
x=4

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