(-4x)/(x-6)+3/(x+5)=-4

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Solution for (-4x)/(x-6)+3/(x+5)=-4 equation: 



(-4x)/(x-6)+3/(x+5)=-4

We move all terms to the left:

(-4x)/(x-6)+3/(x+5)-(-4)=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+5)!=0

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

x!=-5

x∈R



We add all the numbers together, and all the variables

(-4x)/(x-6)+3/(x+5)+4=0

We calculate fractions


((-4x)*(x+5))/((x-6)*(x+5))+(3x-18)/((x-6)*(x+5))+4=0



We calculate terms in parentheses: +((-4x)*(x+5))/((x-6)*(x+5)), so:

(-4x)*(x+5))/((x-6)*(x+5)

We multiply all the terms by the denominator


(-4x)*(x+5))

Back to the equation:

+((-4x)*(x+5)))





We calculate terms in parentheses: +(3x-18)/((x-6)*(x+5)), so:

3x-18)/((x-6)*(x+5)

We multiply all the terms by the denominator


3x*((x-6)*(x+5)-18)

Back to the equation:

+(3x*((x-6)*(x+5)-18))

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