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

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



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

We move all terms to the left:

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



Domain of the equation: (x-6)!=0

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

x!=6

x∈R



We add all the numbers together, and all the variables

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

We get rid of parentheses

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

We calculate fractions


(12x-20)/(4x-24)+(-3x+18)/(4x-24)=0

We multiply all the terms by the denominator


(12x-20)+(-3x+18)=0

We get rid of parentheses

12x-3x-20+18=0

We add all the numbers together, and all the variables

9x-2=0

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

9x=2

x=2/9

x=2/9

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