(2x-6)/(3x-17)=(5)/(7)

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Solution for (2x-6)/(3x-17)=(5)/(7) equation: 



(2x-6)/(3x-17)=(5)/(7)

We move all terms to the left:

(2x-6)/(3x-17)-((5)/(7))=0



Domain of the equation: (3x-17)!=0

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

3x!=17

x!=17/3

x!=5+2/3

x∈R



We add all the numbers together, and all the variables

(2x-6)/(3x-17)-(+5/7)=0

We get rid of parentheses

(2x-6)/(3x-17)-5/7=0

We calculate fractions


(14x-42)/(21x-119)+(-15x+85)/(21x-119)=0

We multiply all the terms by the denominator


(14x-42)+(-15x+85)=0

We get rid of parentheses

14x-15x-42+85=0

We add all the numbers together, and all the variables

-1x+43=0

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

-x=-43

x=-43/-1

x=+43

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