5/(x+4)=4+3/(x-2)

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Solution for 5/(x+4)=4+3/(x-2) equation: 



5/(x+4)=4+3/(x-2)

We move all terms to the left:

5/(x+4)-(4+3/(x-2))=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-2))!=0

x∈R



We calculate fractions


5x/((x+4)*(x-2)))+(-(3*(x+8))/((x+4)*(x-2)))=0



We calculate terms in parentheses: -(3*(x+8))/((x+4)*(x-2))), so:

3*(x+8))/((x+4)*(x-2))

We multiply all the terms by the denominator


3*(x+8))

We multiply parentheses

3x+

We add all the numbers together, and all the variables

3x

Back to the equation:

-(3x)



We add all the numbers together, and all the variables

-3x+5x/((x+4)*(x-2)))+(=0

We multiply all the terms by the denominator


-3x*((x+4)*(x-2)))+(+5x=0

We add all the numbers together, and all the variables

5x-3x*((x+4)*(x-2)))+(=0

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