Новая Школа - онлайн-школа подготовки к ЕГЭ
Задача Задача №1988431
А
Аноним
23 октября 2024 14:37 · публичный вопрос
А
Аноним

x+3=1.5*(x-9-3)

Ответ нейросети
23 октября 2024 14:37

To solve the equation \( x + 3 = 1.5 \cdot (x - 9 - 3) \), let's simplify it step by step.

  1. Start with the original equation:

    \[ x + 3 = 1.5 \cdot (x - 9 - 3) \]

  2. Simplify the right side inside the parentheses:

    \[ x - 9 - 3 = x - 12 \]

    So the equation becomes:

    \[ x + 3 = 1.5 \cdot (x - 12) \]

  3. Now distribute \(1.5\) on the right side:

    \[ x + 3 = 1.5x - 18 \]

  4. Now, rearrange the equation to get all terms involving \(x\) on one side and constant terms on the other side. Let's subtract \(1.5x\) from both sides:

    \[ x - 1.5x + 3 = -18 \]

    This simplifies to:

    \[ -0.5x + 3 = -18 \]

  5. Next, subtract \(3\) from both sides:

    \[ -0.5x = -18 - 3 \]

    This gives:

    \[ -0.5x = -21 \]

  6. Now, divide both sides by \(-0.5\):

    \[ x = \frac{-21}{-0.5} = 21 \div 0.5 = 42 \]

The solution to the equation is:

\[ \boxed{42} \]