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\frac{1}{8}x+5-\frac{1}{3}x=0
Subtract \frac{1}{3}x from both sides.
-\frac{5}{24}x+5=0
Combine \frac{1}{8}x and -\frac{1}{3}x to get -\frac{5}{24}x.
-\frac{5}{24}x=-5
Subtract 5 from both sides. Anything subtracted from zero gives its negation.
x=-5\left(-\frac{24}{5}\right)
Multiply both sides by -\frac{24}{5}, the reciprocal of -\frac{5}{24}.
x=24
Multiply -5 times -\frac{24}{5}.