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

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



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

We move all terms to the left:

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



Domain of the equation: (x-2)!=0

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

x!=2

x∈R





Domain of the equation: (x+3))!=0

x∈R



We calculate fractions


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



We calculate terms in parentheses: -(6*(x-2))/((x-2)*(x+3))), so:

6*(x-2))/((x-2)*(x+3))

We multiply all the terms by the denominator


6*(x-2))

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

We multiply all the terms by the denominator


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

We add all the numbers together, and all the variables

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

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