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

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



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

We move all terms to the left:

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



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

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

x!=6

x∈R





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

x∈R



We calculate fractions


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



We calculate terms in parentheses: -(3*(x-6))/((x-6)*(x-3))), so:

3*(x-6))/((x-6)*(x-3))

We multiply all the terms by the denominator


3*(x-6))

We multiply parentheses

3x+

We add all the numbers together, and all the variables

3x

Back to the equation:

-(3x)



We add all the numbers together, and all the variables

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

We multiply all the terms by the denominator


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

We add all the numbers together, and all the variables

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

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