(x)/(x+1)=(5)/(7)

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Solution for (x)/(x+1)=(5)/(7) equation:



(x)/(x+1)=(5)/(7)
We move all terms to the left:
(x)/(x+1)-((5)/(7))=0
Domain of the equation: (x+1)!=0
We move all terms containing x to the left, all other terms to the right
x!=-1
x∈R
We add all the numbers together, and all the variables
x/(x+1)-(+5/7)=0
We get rid of parentheses
x/(x+1)-5/7=0
We calculate fractions
7x/(7x+7)+(-5x-5)/(7x+7)=0
We multiply all the terms by the denominator
7x+(-5x-5)=0
We get rid of parentheses
7x-5x-5=0
We add all the numbers together, and all the variables
2x-5=0
We move all terms containing x to the left, all other terms to the right
2x=5
x=5/2
x=2+1/2

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