Новая Школа - онлайн-школа подготовки к ЕГЭ
Задача Задача №2626156
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Аноним
13 января 2025 21:45 · публичный вопрос
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Аноним

5х-10+11(-3+2х) =10

Ответ нейросети
13 января 2025 21:45

To solve the equation \( 5x - 10 + 11(-3 + 2x) = 10 \), let's first simplify it step by step.

  1. Distribute \( 11 \) inside the parentheses:

    \[ 11(-3 + 2x) = 11 \cdot -3 + 11 \cdot 2x = -33 + 22x \]

  2. Substitute this back into the equation:

    \[ 5x - 10 - 33 + 22x = 10 \]

  3. Combine like terms on the left side:

    \[ (5x + 22x) + (-10 - 33) = 10 \] \[ 27x - 43 = 10 \]

  4. Now, isolate \( x \) by adding \( 43 \) to both sides:

    \[ 27x = 10 + 43 \] \[ 27x = 53 \]

  5. Finally, divide by \( 27 \) to solve for \( x \):

    \[ x = \frac{53}{27} \]

So the solution to the equation \( 5x - 10 + 11(-3 + 2x) = 10 \) is:

\[ x = \frac{53}{27} \]