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