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3x/x-4=5+12/x-4
We move all terms to the left:
3x/x-4-(5+12/x-4)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-4)!=0We add all the numbers together, and all the variables
x∈R
3x/x-(12/x+1)-4=0
We get rid of parentheses
3x/x-12/x-1-4=0
We multiply all the terms by the denominator
3x-1*x-4*x-12=0
We add all the numbers together, and all the variables
-2x-12=0
We move all terms containing x to the left, all other terms to the right
-2x=12
x=12/-2
x=-6
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