Вопрос:

Реши уравнение $$\left(8\frac{16}{27} - x - 2\frac{17}{27}\right) = 8\frac{5}{27}$$

$Реши уравнение $$\left(8\frac{16}{27} - x - 2\frac{17}{27}\right) = 8\frac{5}{27}$$$

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Ответ ассистента

$$\left(8\frac{16}{27} - x - 2\frac{17}{27}\right) = 8\frac{5}{27}$$ $$8\frac{16}{27} - 2\frac{17}{27} - x = 8\frac{5}{27}$$ $$8\frac{16}{27} - 2\frac{17}{27} = \frac{8 \cdot 27 + 16}{27} - \frac{2 \cdot 27 + 17}{27} = \frac{216 + 16}{27} - \frac{54 + 17}{27} = \frac{232}{27} - \frac{71}{27} = \frac{232 - 71}{27} = \frac{161}{27} = 5\frac{26}{27}$$ $$5\frac{26}{27} - x = 8\frac{5}{27}$$ $$-x = 8\frac{5}{27} - 5\frac{26}{27}$$ $$-x = \frac{8 \cdot 27 + 5}{27} - \frac{5 \cdot 27 + 26}{27} = \frac{216 + 5}{27} - \frac{135 + 26}{27} = \frac{221}{27} - \frac{161}{27} = \frac{221 - 161}{27} = \frac{60}{27}$$ $$-x = \frac{60}{27}$$ $$x = -\frac{60}{27}$$ $$x = -2\frac{6}{27}$$ $$x = -2\frac{2}{9}$$ **Ответ:** $$x = -2\frac{2}{9}$$

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