x+2/x+3=x-6/x-9

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Solution for x+2/x+3=x-6/x-9 equation: 



x+2/x+3=x-6/x-9

We move all terms to the left:

x+2/x+3-(x-6/x-9)=0



Domain of the equation: x!=0

x∈R





Domain of the equation: x-9)!=0

x∈R



We get rid of parentheses

x+2/x-x+6/x+9+3=0

We multiply all the terms by the denominator


x*x-x*x+9*x+3*x+2+6=0

We add all the numbers together, and all the variables

12x+x*x-x*x+8=0

Wy multiply elements

x^2-1x^2+12x+8=0

We add all the numbers together, and all the variables

12x+8=0

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

12x=-8

x=-8/12

x=-2/3

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