7/(x-1)=6/(x+2)

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Solution for 7/(x-1)=6/(x+2) equation: 



7/(x-1)=6/(x+2)

We move all terms to the left:

7/(x-1)-(6/(x+2))=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+2))!=0

x∈R



We calculate fractions


7x/((x-1)*(x+2)))+(-(6*(x-1))/((x-1)*(x+2)))=0



We calculate terms in parentheses: -(6*(x-1))/((x-1)*(x+2))), so:

6*(x-1))/((x-1)*(x+2))

We multiply all the terms by the denominator


6*(x-1))

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+7x/((x-1)*(x+2)))+(=0

We multiply all the terms by the denominator


-6x*((x-1)*(x+2)))+(+7x=0

We add all the numbers together, and all the variables

7x-6x*((x-1)*(x+2)))+(=0

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