簡約 3/4 (3x+6)-1/4 (5x-24)

解

簡約

\frac{3}{4} (3 x + 6) - \frac{1}{4} (5 x - 24)

x + \frac{21}{2}

解答ステップ

\frac{3}{4} (3 x + 6) - \frac{1}{4} (5 x - 24)

拡張

\frac{3}{4} (3 x + 6) : \frac{9 x}{4} + \frac{9}{2}

= \frac{9 x}{4} + \frac{9}{2} - \frac{1}{4} (5 x - 24)

拡張

- \frac{1}{4} (5 x - 24) : - \frac{5 x}{4} + 6

= \frac{9 x}{4} + \frac{9}{2} - \frac{5 x}{4} + 6

結合

\frac{9 x}{4} + \frac{9}{2} - \frac{5 x}{4} + 6 : x + \frac{21}{2}

= x + \frac{21}{2}