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

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



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

We move all terms to the left:

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



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

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

x!=-4

x∈R



We add all the numbers together, and all the variables

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

We get rid of parentheses

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

We calculate fractions


(6x-30)/(6x+24)+(-4x-16)/(6x+24)=0

We multiply all the terms by the denominator


(6x-30)+(-4x-16)=0

We get rid of parentheses

6x-4x-30-16=0

We add all the numbers together, and all the variables

2x-46=0

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

2x=46

x=46/2

x=23

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