(3x+4)/(x-2)=(5)/(6)

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Solution for (3x+4)/(x-2)=(5)/(6) equation: 



(3x+4)/(x-2)=(5)/(6)

We move all terms to the left:

(3x+4)/(x-2)-((5)/(6))=0



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

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

x!=2

x∈R



We add all the numbers together, and all the variables

(3x+4)/(x-2)-(+5/6)=0

We get rid of parentheses

(3x+4)/(x-2)-5/6=0

We calculate fractions


(18x+24)/(6x-12)+(-5x+10)/(6x-12)=0

We multiply all the terms by the denominator


(18x+24)+(-5x+10)=0

We get rid of parentheses

18x-5x+24+10=0

We add all the numbers together, and all the variables

13x+34=0

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

13x=-34

x=-34/13

x=-2+8/13

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