2/(x+8)=4/x-1

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Solution for 2/(x+8)=4/x-1 equation: 



2/(x+8)=4/x-1

We move all terms to the left:

2/(x+8)-(4/x-1)=0



Domain of the equation: (x+8)!=0

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

x!=-8

x∈R





Domain of the equation: x-1)!=0

x∈R



We get rid of parentheses

2/(x+8)-4/x+1=0

We calculate fractions


2x/(x^2+8x)+(-4x-32)/(x^2+8x)+1=0

We multiply all the terms by the denominator


2x+(-4x-32)+1*(x^2+8x)=0

We get rid of parentheses

2x-4x+1*(x^2+8x)-32=0

We add all the numbers together, and all the variables

-2x+1*(x^2+8x)-32=0

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

-2x+1*(x^2+8x)=32

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