Evaluate
-\frac{3x}{2}+5
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-\frac{3x}{2}+5
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\frac{1}{4}\left(20-6x\right)
Add 8 and 12 to get 20.
\frac{1}{4}\times 20+\frac{1}{4}\left(-6\right)x
Use the distributive property to multiply \frac{1}{4} by 20-6x.
\frac{20}{4}+\frac{1}{4}\left(-6\right)x
Multiply \frac{1}{4} and 20 to get \frac{20}{4}.
5+\frac{1}{4}\left(-6\right)x
Divide 20 by 4 to get 5.
5+\frac{-6}{4}x
Multiply \frac{1}{4} and -6 to get \frac{-6}{4}.
5-\frac{3}{2}x
Reduce the fraction \frac{-6}{4} to lowest terms by extracting and canceling out 2.
\frac{1}{4}\left(20-6x\right)
Add 8 and 12 to get 20.
\frac{1}{4}\times 20+\frac{1}{4}\left(-6\right)x
Use the distributive property to multiply \frac{1}{4} by 20-6x.
\frac{20}{4}+\frac{1}{4}\left(-6\right)x
Multiply \frac{1}{4} and 20 to get \frac{20}{4}.
5+\frac{1}{4}\left(-6\right)x
Divide 20 by 4 to get 5.
5+\frac{-6}{4}x
Multiply \frac{1}{4} and -6 to get \frac{-6}{4}.
5-\frac{3}{2}x
Reduce the fraction \frac{-6}{4} to lowest terms by extracting and canceling out 2.
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