2/x-1+5=17/x-1

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Solution for 2/x-1+5=17/x-1 equation:



2/x-1+5=17/x-1
We move all terms to the left:
2/x-1+5-(17/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
2/x-(17/x-1)+4=0
We get rid of parentheses
2/x-17/x+1+4=0
We multiply all the terms by the denominator
1*x+4*x+2-17=0
We add all the numbers together, and all the variables
5x-15=0
We move all terms containing x to the left, all other terms to the right
5x=15
x=15/5
x=3

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