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Реши уравнение: \( 11+66 x=-4 x-17 \)

Ask by Nguyen Bernard. in Russia
Jan 30,2025

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Answer

\( x = -\frac{2}{5} \) или \( x = -0{,}4 \).

Solution

Решим уравнение: \[ 11 + 66x = -4x - 17 \] 1. **Перенесём все члены с \( x \) в левую сторону, а константы — в правую:** \[ 66x + 4x = -17 - 11 \] 2. **Сложим подобные члены:** \[ 70x = -28 \] 3. **Найдём значение \( x \), разделив обе части на 70:** \[ x = \frac{-28}{70} \] \[ x = -\frac{2}{5} \] \[ x = -0{,}4 \] **Ответ:** \( x = -\frac{2}{5} \) или \( x = -0{,}4 \).

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The Deep Dive

Давай решим уравнение по шагам! Сначала соберем все иксы на одной стороне, а числа на другой. 1. Плюсовать \(4x\) и добавим \(17\) к обеим сторонам: \[ 11 + 66x + 4x = -17 \] \[ 70x + 11 = -17 \] 2. Теперь вычтем \(11\) из обеих сторон: \[ 70x = -17 - 11 \] \[ 70x = -28 \] 3. Наконец, делим обе стороны на \(70\): \[ x = \frac{-28}{70} \] \[ x = -\frac{2}{5} \] Ответ: \( x = -\frac{2}{5} \).

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