Новая Школа - онлайн-школа подготовки к ЕГЭ
Задача Задача №1696674
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

To solve the equation \(8(1.3x + 0.25) - 6.7x = 3.8 + 2\), we can follow these steps:

  1. Simplify the right side of the equation: \[ 3.8 + 2 = 5.8 \]

  2. Distribute the \(8\) on the left side: \[ 8(1.3x) + 8(0.25) - 6.7x = 5.8 \] This simplifies to: \[ 10.4x + 2 - 6.7x = 5.8 \]

  3. Combine like terms on the left side: \[ (10.4x - 6.7x) + 2 = 5.8 \] Which simplifies to: \[ 3.7x + 2 = 5.8 \]

  4. Subtract \(2\) from both sides: \[ 3.7x = 5.8 - 2 \] This gives us: \[ 3.7x = 3.8 \]

  5. Now, divide both sides by \(3.7\): \[ x = \frac{3.8}{3.7} \]

  6. Calculate the result: \[ x \approx 1.027 \]

Thus, the solution is: \[ x \approx 1.027 \]