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3/x+3=-24/x-6
We move all terms to the left:
3/x+3-(-24/x-6)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-6)!=0We get rid of parentheses
x∈R
3/x+24/x+6+3=0
We multiply all the terms by the denominator
6*x+3*x+3+24=0
We add all the numbers together, and all the variables
9x+27=0
We move all terms containing x to the left, all other terms to the right
9x=-27
x=-27/9
x=-3
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