(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+14=0

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

13x=-14

x=-14/13

x=-1+1/13

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