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2+\frac{1}{4}x-\frac{1}{6}x=0
Subtract \frac{1}{6}x from both sides.
2+\frac{1}{12}x=0
Combine \frac{1}{4}x and -\frac{1}{6}x to get \frac{1}{12}x.
\frac{1}{12}x=-2
Subtract 2 from both sides. Anything subtracted from zero gives its negation.
x=-2\times 12
Multiply both sides by 12, the reciprocal of \frac{1}{12}.
x=-24
Multiply -2 and 12 to get -24.