(X-5)/(x+4)=4/7

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Solution for (X-5)/(x+4)=4/7 equation: 



(X-5)/(X+4)=4/7

We move all terms to the left:

(X-5)/(X+4)-(4/7)=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)-(+4/7)=0

We get rid of parentheses

(X-5)/(X+4)-4/7=0

We calculate fractions


(7X-35)/(7X+28)+(-4X-16)/(7X+28)=0

We multiply all the terms by the denominator


(7X-35)+(-4X-16)=0

We get rid of parentheses

7X-4X-35-16=0

We add all the numbers together, and all the variables

3X-51=0

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

3X=51

X=51/3

X=17

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