Evaluate
-2x-\frac{1}{3}
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-2x-\frac{1}{3}
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3x\left(-\frac{2}{3}\right)+\frac{1}{2}\left(-\frac{2}{3}\right)
Use the distributive property to multiply 3x+\frac{1}{2} by -\frac{2}{3}.
-2x+\frac{1}{2}\left(-\frac{2}{3}\right)
Cancel out 3 and 3.
-2x+\frac{1\left(-2\right)}{2\times 3}
Multiply \frac{1}{2} times -\frac{2}{3} by multiplying numerator times numerator and denominator times denominator.
-2x+\frac{-2}{6}
Do the multiplications in the fraction \frac{1\left(-2\right)}{2\times 3}.
-2x-\frac{1}{3}
Reduce the fraction \frac{-2}{6} to lowest terms by extracting and canceling out 2.
3x\left(-\frac{2}{3}\right)+\frac{1}{2}\left(-\frac{2}{3}\right)
Use the distributive property to multiply 3x+\frac{1}{2} by -\frac{2}{3}.
-2x+\frac{1}{2}\left(-\frac{2}{3}\right)
Cancel out 3 and 3.
-2x+\frac{1\left(-2\right)}{2\times 3}
Multiply \frac{1}{2} times -\frac{2}{3} by multiplying numerator times numerator and denominator times denominator.
-2x+\frac{-2}{6}
Do the multiplications in the fraction \frac{1\left(-2\right)}{2\times 3}.
-2x-\frac{1}{3}
Reduce the fraction \frac{-2}{6} to lowest terms by extracting and canceling out 2.
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