(X-6)/(x-4)-(3x-2)/(x-4)=4

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



(X-6)/(X-4)-(3X-2)/(X-4)=4

We move all terms to the left:

(X-6)/(X-4)-(3X-2)/(X-4)-(4)=0



Domain of the equation: (X-4)!=0

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

X!=4

X∈R



We multiply all the terms by the denominator


(X-6)-(3X-2)-4*(X-4)=0

We multiply parentheses

(X-6)-(3X-2)-4X+16=0

We get rid of parentheses

X-3X-4X-6+2+16=0

We add all the numbers together, and all the variables

-6X+12=0

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

-6X=-12

X=-12/-6

X=+2

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