x+7/x=x+1/x-3

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Solution for x+7/x=x+1/x-3 equation: 



x+7/x=x+1/x-3

We move all terms to the left:

x+7/x-(x+1/x-3)=0



Domain of the equation: x!=0

x∈R





Domain of the equation: x-3)!=0

x∈R



We get rid of parentheses

x+7/x-x-1/x+3=0

We multiply all the terms by the denominator


x*x-x*x+3*x+7-1=0

We add all the numbers together, and all the variables

3x+x*x-x*x+6=0

Wy multiply elements

x^2-1x^2+3x+6=0

We add all the numbers together, and all the variables

3x+6=0

We move all terms containing x to the left, all other terms to the right

3x=-6

x=-6/3

x=-2

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