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6/x+4=12-2/x
We move all terms to the left:
6/x+4-(12-2/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
6/x-(-2/x+12)+4=0
We get rid of parentheses
6/x+2/x-12+4=0
We multiply all the terms by the denominator
-12*x+4*x+6+2=0
We add all the numbers together, and all the variables
-8x+8=0
We move all terms containing x to the left, all other terms to the right
-8x=-8
x=-8/-8
x=1
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