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