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\frac{2}{3}x+5-\frac{1}{2}x=0
Subtract \frac{1}{2}x from both sides.
\frac{1}{6}x+5=0
Combine \frac{2}{3}x and -\frac{1}{2}x to get \frac{1}{6}x.
\frac{1}{6}x=-5
Subtract 5 from both sides. Anything subtracted from zero gives its negation.
x=-5\times 6
Multiply both sides by 6, the reciprocal of \frac{1}{6}.
x=-30
Multiply -5 and 6 to get -30.