(x/x-3)=(3/x-3)+9

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Solution for (x/x-3)=(3/x-3)+9 equation: 



(x/x-3)=(3/x-3)+9

We move all terms to the left:

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



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

x∈R





Domain of the equation: x-3)+9)!=0

x∈R



We get rid of parentheses

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

Fractions to decimals

-((3/x-3)+9)-3+1=0

We multiply all the terms by the denominator


-((3-3*x-3)+9)+1*x-3)+9)=0



We calculate terms in parentheses: -((3-3*x-3)+9), so:

(3-3*x-3)+9

We add all the numbers together, and all the variables

(-3x)+9

We get rid of parentheses

-3x+9

Back to the equation:

-(-3x+9)



We add all the numbers together, and all the variables

x-(-3x+9)=0

We get rid of parentheses

x+3x-9=0

We add all the numbers together, and all the variables

4x-9=0

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

4x=9

x=9/4

x=2+1/4

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