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

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Solution for 3/(x-6)=7/(x+2) equation: 



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

We move all terms to the left:

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

x∈R



We calculate fractions


3x/((x-6)*(x+2)))+(-(7*(x-6))/((x-6)*(x+2)))=0



We calculate terms in parentheses: -(7*(x-6))/((x-6)*(x+2))), so:

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

We multiply all the terms by the denominator


7*(x-6))

We multiply parentheses

7x+

We add all the numbers together, and all the variables

7x

Back to the equation:

-(7x)



We add all the numbers together, and all the variables

-7x+3x/((x-6)*(x+2)))+(=0

We multiply all the terms by the denominator


-7x*((x-6)*(x+2)))+(+3x=0

We add all the numbers together, and all the variables

3x-7x*((x-6)*(x+2)))+(=0

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