(x-4)/(2x-3)=3

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



(x-4)/(2x-3)=3

We move all terms to the left:

(x-4)/(2x-3)-(3)=0



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

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

2x!=3

x!=3/2

x!=1+1/2

x∈R



We multiply all the terms by the denominator


(x-4)-3*(2x-3)=0

We multiply parentheses

(x-4)-6x+9=0

We get rid of parentheses

x-6x-4+9=0

We add all the numbers together, and all the variables

-5x+5=0

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

-5x=-5

x=-5/-5

x=1

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