(x+6)/(3x-2)=7/11

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Solution for (x+6)/(3x-2)=7/11 equation: 



(x+6)/(3x-2)=7/11

We move all terms to the left:

(x+6)/(3x-2)-(7/11)=0



Domain of the equation: (3x-2)!=0

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

3x!=2

x!=2/3

x!=2/3

x∈R



We add all the numbers together, and all the variables

(x+6)/(3x-2)-(+7/11)=0

We get rid of parentheses

(x+6)/(3x-2)-7/11=0

We calculate fractions


(11x+66)/(33x-22)+(-21x+14)/(33x-22)=0

We multiply all the terms by the denominator


(11x+66)+(-21x+14)=0

We get rid of parentheses

11x-21x+66+14=0

We add all the numbers together, and all the variables

-10x+80=0

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

-10x=-80

x=-80/-10

x=+8

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