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\frac{1}{x}+\frac{1}{2x}=\frac{1}{12}
Divide both sides by 12.
12+6=x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 12x, the least common multiple of x,2x,12.
18=x
Add 12 and 6 to get 18.
x=18
Swap sides so that all variable terms are on the left hand side.