(7-x)/(x)-(x)/(x+8)=5

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Solution for (7-x)/(x)-(x)/(x+8)=5 equation: 



(7-x)/(x)-(x)/(x+8)=5

We move all terms to the left:

(7-x)/(x)-(x)/(x+8)-(5)=0



Domain of the equation: x!=0

x∈R





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



We add all the numbers together, and all the variables

(-1x+7)/x-x/(x+8)-5=0

We calculate fractions


(-1x^2)/(x^2+8x)+((-1x+7)*(x+8))/(x^2+8x)-5=0



We calculate terms in parentheses: +((-1x+7)*(x+8))/(x^2+8x), so:

(-1x+7)*(x+8))/(x^2+8x

We add all the numbers together, and all the variables

8x+(-1x+7)*(x+8))/(x^2

We multiply all the terms by the denominator


8x*(x^2+(-1x+7)*(x+8))

Back to the equation:

+(8x*(x^2+(-1x+7)*(x+8)))



We multiply all the terms by the denominator


(-1x^2)+((8x*(x^2+(-1x+7)*(x+8))))*(x^2+8x)-5*(x^2+8x)=0



We calculate terms in parentheses: +((8x*(x^2+(-1x+7)*(x+8))))*(x^2+8x), so:

(8x*(x^2+(-1x+7)*(x+8))))*(x^2+8x

We add all the numbers together, and all the variables

8x+(8x*(x^2+(-1x+7)*(x+8))))*(x^2

Back to the equation:

+(8x+(8x*(x^2+(-1x+7)*(x+8))))*(x^2)



We multiply parentheses

(-1x^2)-5x^2+(8x+(8x*(x^2+(-1x+7)*(x+8))))*x^2-40x=0

We get rid of parentheses

-1x^2-5x^2+(8x+(8x*(x^2+(-1x+7)*(x+8))))*x^2-40x=0

We add all the numbers together, and all the variables

-6x^2-40x+(8x+(8x*(x^2+(-1x+7)*(x+8))))*x^2=0

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