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10/x-2=1+12/x+2
We move all terms to the left:
10/x-2-(1+12/x+2)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x+2)!=0We add all the numbers together, and all the variables
x∈R
10/x-(12/x+3)-2=0
We get rid of parentheses
10/x-12/x-3-2=0
We multiply all the terms by the denominator
-3*x-2*x+10-12=0
We add all the numbers together, and all the variables
-5x-2=0
We move all terms containing x to the left, all other terms to the right
-5x=2
x=2/-5
x=-2/5
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