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

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 calculate fractions


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


We calculate terms in parentheses: -(4*(x+8))/((x+8)*(x-1))), so:

4*(x+8))/((x+8)*(x-1))

We multiply all the terms by the denominator


4*(x+8))

We multiply parentheses

4x+

We add all the numbers together, and all the variables

4x

Back to the equation:

-(4x)


We add all the numbers together, and all the variables

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

We multiply all the terms by the denominator


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

We add all the numbers together, and all the variables

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