(4)/(x+4)=(6)/(x-3)

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Solution for (4)/(x+4)=(6)/(x-3) equation: 



(4)/(x+4)=(6)/(x-3)

We move all terms to the left:

(4)/(x+4)-((6)/(x-3))=0



Domain of the equation: (x+4)!=0

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

x!=-4

x∈R





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

x∈R



We calculate fractions


4x/((x+4)*(x-3)))+(-(6*(x+4))/((x+4)*(x-3)))=0



We calculate terms in parentheses: -(6*(x+4))/((x+4)*(x-3))), so:

6*(x+4))/((x+4)*(x-3))

We multiply all the terms by the denominator


6*(x+4))

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+4x/((x+4)*(x-3)))+(=0

We multiply all the terms by the denominator


-6x*((x+4)*(x-3)))+(+4x=0

We add all the numbers together, and all the variables

4x-6x*((x+4)*(x-3)))+(=0

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