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Задача Задача №2664335
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Аноним
22 января 2025 14:42 · публичный вопрос
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Аноним

-9(8-9x)=4x+5

Ответ нейросети
22 января 2025 14:42

To solve the equation \(-9(8 - 9x) = 4x + 5\), follow these steps:

  1. Distribute the \(-9\) on the left side:

    \[ -9 \cdot 8 + 9 \cdot 9x = -72 + 81x \]

    So the equation becomes:

    \[ -72 + 81x = 4x + 5 \]

  2. Next, let's move all terms involving \(x\) to one side and constant terms to the other side. First, subtract \(4x\) from both sides:

    \[ -72 + 81x - 4x = 5 \]

    This simplifies to:

    \[ -72 + 77x = 5 \]

  3. Now, add \(72\) to both sides:

    \[ 77x = 5 + 72 \]

    Which simplifies to:

    \[ 77x = 77 \]

  4. Finally, divide both sides by \(77\):

    \[ x = \frac{77}{77} \]

    Therefore:

    \[ x = 1 \]

The solution to the equation \(-9(8 - 9x) = 4x + 5\) is \(x = 1\).