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\frac{1}{2}x-3x=-8
Subtract 3x from both sides.
-\frac{5}{2}x=-8
Combine \frac{1}{2}x and -3x to get -\frac{5}{2}x.
x=-8\left(-\frac{2}{5}\right)
Multiply both sides by -\frac{2}{5}, the reciprocal of -\frac{5}{2}.
x=\frac{-8\left(-2\right)}{5}
Express -8\left(-\frac{2}{5}\right) as a single fraction.
x=\frac{16}{5}
Multiply -8 and -2 to get 16.