(x+4)/(x-6+4)=8/5

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Solution for (x+4)/(x-6+4)=8/5 equation: 



(x+4)/(x-6+4)=8/5

We move all terms to the left:

(x+4)/(x-6+4)-(8/5)=0



Domain of the equation: (x-6+4)!=0

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

x!=2

x∈R



We add all the numbers together, and all the variables

(x+4)/(x-2)-(+8/5)=0

We get rid of parentheses

(x+4)/(x-2)-8/5=0

We calculate fractions


(5x+20)/(5x-10)+(-8x+16)/(5x-10)=0

We multiply all the terms by the denominator


(5x+20)+(-8x+16)=0

We get rid of parentheses

5x-8x+20+16=0

We add all the numbers together, and all the variables

-3x+36=0

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

-3x=-36

x=-36/-3

x=+12

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