(x/x-6)+3=6/x-6

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Solution for (x/x-6)+3=6/x-6 equation: 



(x/x-6)+3=6/x-6

We move all terms to the left:

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



Domain of the equation: x-6)!=0

x∈R



We get rid of parentheses

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

Fractions to decimals

-6/x-6+6+3+1=0

We multiply all the terms by the denominator


-6*x+6*x+3*x+1*x-6=0

We add all the numbers together, and all the variables

4x-6=0

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

4x=6

x=6/4

x=1+1/2

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