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4/x-12=2-3/x
We move all terms to the left:
4/x-12-(2-3/x)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x)!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
4/x-(-3/x+2)-12=0
We get rid of parentheses
4/x+3/x-2-12=0
We multiply all the terms by the denominator
-2*x-12*x+4+3=0
We add all the numbers together, and all the variables
-14x+7=0
We move all terms containing x to the left, all other terms to the right
-14x=-7
x=-7/-14
x=1/2
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