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\frac{1}{2}x-3x=-15
Subtract 3x from both sides.
-\frac{5}{2}x=-15
Combine \frac{1}{2}x and -3x to get -\frac{5}{2}x.
x=-15\left(-\frac{2}{5}\right)
Multiply both sides by -\frac{2}{5}, the reciprocal of -\frac{5}{2}.
x=\frac{-15\left(-2\right)}{5}
Express -15\left(-\frac{2}{5}\right) as a single fraction.
x=\frac{30}{5}
Multiply -15 and -2 to get 30.
x=6
Divide 30 by 5 to get 6.