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2/x+3=12/x+8
We move all terms to the left:
2/x+3-(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
2/x-12/x-8+3=0
We multiply all the terms by the denominator
-8*x+3*x+2-12=0
We add all the numbers together, and all the variables
-5x-10=0
We move all terms containing x to the left, all other terms to the right
-5x=10
x=10/-5
x=-2
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