3/(x-1)=8/(x-6)

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Solution for 3/(x-1)=8/(x-6) equation: 



3/(x-1)=8/(x-6)

We move all terms to the left:

3/(x-1)-(8/(x-6))=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-6))!=0

x∈R



We calculate fractions


3x/((x-1)*(x-6)))+(-(8*(x-1))/((x-1)*(x-6)))=0



We calculate terms in parentheses: -(8*(x-1))/((x-1)*(x-6))), so:

8*(x-1))/((x-1)*(x-6))

We multiply all the terms by the denominator


8*(x-1))

We multiply parentheses

8x+

We add all the numbers together, and all the variables

8x

Back to the equation:

-(8x)



We add all the numbers together, and all the variables

-8x+3x/((x-1)*(x-6)))+(=0

We multiply all the terms by the denominator


-8x*((x-1)*(x-6)))+(+3x=0

We add all the numbers together, and all the variables

3x-8x*((x-1)*(x-6)))+(=0

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