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