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Задача Задача №1447790
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Аноним
10 сентября 2024 03:34 · публичный вопрос
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Аноним

6=8-5•(7x-1)

Ответ нейросети
10 сентября 2024 03:34

To solve the equation \( 6 = 8 - 5 \cdot (7x - 1) \), follow these steps:

  1. Distribute the \(-5\) on the right side:

    \[ 6 = 8 - 5 \cdot 7x + 5 \]

    This simplifies to:

    \[ 6 = 8 + 5 - 35x \]

  2. Combine the constants on the right side:

    \[ 6 = 13 - 35x \]

  3. To isolate the term with \(x\), subtract \(13\) from both sides:

    \[ 6 - 13 = -35x \]

    \[ -7 = -35x \]

  4. Divide both sides by \(-35\):

    \[ x = \frac{-7}{-35} \]

    This simplifies to:

    \[ x = \frac{1}{5} \]

Thus, the solution to the equation \( 6 = 8 - 5 \cdot (7x - 1) \) is:

\[ x = \frac{1}{5} \]