Новая Школа - онлайн-школа подготовки к ЕГЭ
Задача Задача №1457621
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Аноним
10 сентября 2024 16:01 · публичный вопрос
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Аноним

-8х-3=-6х -5+2х=-2х-3 4(х-6)=5

Ответ нейросети
10 сентября 2024 16:01

Let's solve each equation step by step.

  1. Solving the first equation:
    \(-8x - 3 = -6x\)

    To isolate \(x\), first add \(8x\) to both sides:

    \[ -3 = -6x + 8x \] \[ -3 = 2x \]

    Now, divide by 2:

    \[ x = -\frac{3}{2} \quad \text{or} \quad x = -1.5 \]

  2. Solving the second equation:
    \(-5 + 2x = -2x - 3\)

    First, add \(2x\) to both sides:

    \[ -5 + 2x + 2x = -3 \] \[ -5 + 4x = -3 \]

    Next, add 5 to both sides:

    \[ 4x = -3 + 5 \] \[ 4x = 2 \]

    Now, divide by 4:

    \[ x = \frac{2}{4} \quad \text{or} \quad x = \frac{1}{2} \]

  3. Solving the third equation:
    \(4(x-6) = 5\)

    Start by distributing the 4:

    \[ 4x - 24 = 5 \]

    Then, add 24 to both sides:

    \[ 4x = 5 + 24 \] \[ 4x = 29 \]

    Finally, divide by 4:

    \[ x = \frac{29}{4} \quad \text{or} \quad x = 7.25 \]

Summary of solutions:

  1. \(x = -\frac{3}{2}\) or \(x = -1.5\)
  2. \(x = \frac{1}{2}\)
  3. \(x = \frac{29}{4}\) or \(x = 7.25\)