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3/x+4=12/x-8
We move all terms to the left:
3/x+4-(12/x-8)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-8)!=0We get rid of parentheses
x∈R
3/x-12/x+8+4=0
We multiply all the terms by the denominator
8*x+4*x+3-12=0
We add all the numbers together, and all the variables
12x-9=0
We move all terms containing x to the left, all other terms to the right
12x=9
x=9/12
x=3/4
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