(x+6)/(x-3)=5/7

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Solution for (x+6)/(x-3)=5/7 equation: 



(x+6)/(x-3)=5/7

We move all terms to the left:

(x+6)/(x-3)-(5/7)=0



Domain of the equation: (x-3)!=0

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

x!=3

x∈R



We add all the numbers together, and all the variables

(x+6)/(x-3)-(+5/7)=0

We get rid of parentheses

(x+6)/(x-3)-5/7=0

We calculate fractions


(7x+42)/(7x-21)+(-5x+15)/(7x-21)=0

We multiply all the terms by the denominator


(7x+42)+(-5x+15)=0

We get rid of parentheses

7x-5x+42+15=0

We add all the numbers together, and all the variables

2x+57=0

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

2x=-57

x=-57/2

x=-28+1/2

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