6/(x+8)=8/x

Solution for 6/(x+8)=8/x equation:

6/(x+8)=8/x

We move all terms to the left:

6/(x+8)-(8/x)=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)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

6/(x+8)-(+8/x)=0

We get rid of parentheses

6/(x+8)-8/x=0

We calculate fractions


6x/(x^2+8x)+(-8x-64)/(x^2+8x)=0

We multiply all the terms by the denominator


6x+(-8x-64)=0

We get rid of parentheses

6x-8x-64=0

We add all the numbers together, and all the variables

-2x-64=0

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

-2x=64

x=64/-2

x=-32