(x+4)/(x-6+4)=5/3

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Solution for (x+4)/(x-6+4)=5/3 equation: 



(x+4)/(x-6+4)=5/3

We move all terms to the left:

(x+4)/(x-6+4)-(5/3)=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)-(+5/3)=0

We get rid of parentheses

(x+4)/(x-2)-5/3=0

We calculate fractions


(3x+12)/(3x-6)+(-5x+10)/(3x-6)=0

We multiply all the terms by the denominator


(3x+12)+(-5x+10)=0

We get rid of parentheses

3x-5x+12+10=0

We add all the numbers together, and all the variables

-2x+22=0

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

-2x=-22

x=-22/-2

x=+11

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