Evaluate
\frac{23x}{6}+\frac{7}{2}
Expand
\frac{23x}{6}+\frac{7}{2}
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5x-\frac{7}{6}x-\frac{7}{6}\left(-3\right)
Use the distributive property to multiply -\frac{7}{6} by x-3.
5x-\frac{7}{6}x+\frac{-7\left(-3\right)}{6}
Express -\frac{7}{6}\left(-3\right) as a single fraction.
5x-\frac{7}{6}x+\frac{21}{6}
Multiply -7 and -3 to get 21.
5x-\frac{7}{6}x+\frac{7}{2}
Reduce the fraction \frac{21}{6} to lowest terms by extracting and canceling out 3.
\frac{23}{6}x+\frac{7}{2}
Combine 5x and -\frac{7}{6}x to get \frac{23}{6}x.
5x-\frac{7}{6}x-\frac{7}{6}\left(-3\right)
Use the distributive property to multiply -\frac{7}{6} by x-3.
5x-\frac{7}{6}x+\frac{-7\left(-3\right)}{6}
Express -\frac{7}{6}\left(-3\right) as a single fraction.
5x-\frac{7}{6}x+\frac{21}{6}
Multiply -7 and -3 to get 21.
5x-\frac{7}{6}x+\frac{7}{2}
Reduce the fraction \frac{21}{6} to lowest terms by extracting and canceling out 3.
\frac{23}{6}x+\frac{7}{2}
Combine 5x and -\frac{7}{6}x to get \frac{23}{6}x.
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