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Задача Задача №1696671
А
Аноним
01 октября 2024 19:06 · публичный вопрос
А
Аноним

8(1,3х+0,25)-6,7х=3,8+2

Ответ нейросети
01 октября 2024 19:06

Let's simplify the equation step by step:

Starting with the equation:

\[ 8(1.3x + 0.25) - 6.7x = 3.8 + 2 \]

  1. Simplify the right side:

    \[ 3.8 + 2 = 5.8 \]

    Now the equation looks like:

    \[ 8(1.3x + 0.25) - 6.7x = 5.8 \]

  2. Distribute the 8 on the left side:

    \[ 8 \cdot 1.3x + 8 \cdot 0.25 - 6.7x = 5.8 \]

    \[ 10.4x + 2 - 6.7x = 5.8 \]

  3. Combine like terms on the left side:

    \[ (10.4x - 6.7x) + 2 = 5.8 \]

    \[ 3.7x + 2 = 5.8 \]

  4. Isolate the variable \(x\) by subtracting 2 from both sides:

    \[ 3.7x = 5.8 - 2 \]

    \[ 3.7x = 3.8 \]

  5. Solve for \(x\) by dividing both sides by 3.7:

    \[ x = \frac{3.8}{3.7} \]

    \[ x \approx 1.027 \]

So the solution is:

\[ x \approx 1.027 \]