6/(x-1)=3/(x-5)

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Solution for 6/(x-1)=3/(x-5) equation: 



6/(x-1)=3/(x-5)

We move all terms to the left:

6/(x-1)-(3/(x-5))=0



Domain of the equation: (x-1)!=0

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

x!=1

x∈R





Domain of the equation: (x-5))!=0

x∈R



We calculate fractions


6x/((x-1)*(x-5)))+(-(3*(x-1))/((x-1)*(x-5)))=0



We calculate terms in parentheses: -(3*(x-1))/((x-1)*(x-5))), so:

3*(x-1))/((x-1)*(x-5))

We multiply all the terms by the denominator


3*(x-1))

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-1)*(x-5)))+(=0

We multiply all the terms by the denominator


-3x*((x-1)*(x-5)))+(+6x=0

We add all the numbers together, and all the variables

6x-3x*((x-1)*(x-5)))+(=0

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