3/(x-4)=6/(x-6)

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Solution for 3/(x-4)=6/(x-6) equation: 



3/(x-4)=6/(x-6)

We move all terms to the left:

3/(x-4)-(6/(x-6))=0



Domain of the equation: (x-4)!=0

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

x!=4

x∈R





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

x∈R



We calculate fractions


3x/((x-4)*(x-6)))+(-(6*(x-4))/((x-4)*(x-6)))=0



We calculate terms in parentheses: -(6*(x-4))/((x-4)*(x-6))), so:

6*(x-4))/((x-4)*(x-6))

We multiply all the terms by the denominator


6*(x-4))

We multiply parentheses

6x+

We add all the numbers together, and all the variables

6x

Back to the equation:

-(6x)



We add all the numbers together, and all the variables

-6x+3x/((x-4)*(x-6)))+(=0

We multiply all the terms by the denominator


-6x*((x-4)*(x-6)))+(+3x=0

We add all the numbers together, and all the variables

3x-6x*((x-4)*(x-6)))+(=0

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