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Задача Задача №1331785
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Аноним
27 августа 2024 06:00 · публичный вопрос
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Аноним

12 + 4(х – 3) – 2х = (5 – 3х) + 9

Нейросеть27 августа 2024 06:00

To solve the equation \(12 + 4(x - 3) - 2x = (5 - 3x) + 9\), we will simplify both sides step by step.

  1. Expand and simplify both sides of the equation.

    Left side: \[ 12 + 4(x - 3) - 2x = 12 + 4x - 12 - 2x = 4x - 2x + 12 - 12 = 2x \]

    Right side: \[ (5 - 3x) + 9 = 5 - 3x + 9 = 14 - 3x \]

Now the equation is: \[ 2x = 14 - 3x \]

  1. Combine like terms. To solve for \(x\), we can add \(3x\) to both sides: \[ 2x + 3x = 14 \] \[ 5x = 14 \]

  2. Divide by 5 to find \(x\): \[ x = \frac{14}{5} \]

Thus, the solution is: \[ \boxed{\frac{14}{5}} \quad \text{or} \quad 2.8 \]

12 + 4(х – 3) – 2х = (5 – 3х) + 9
To solve the equation \(12 + 4(x - 3) - 2x = (5 - 3x) + 9\), we will simplify both sides step by step. 1. **Expand and simplify both sides** of the equation. Left side: \[ 12 + 4(x - 3) - 2x = 12 + 4x - 12 - 2x = 4x - 2x + 12 - 12 = 2x \] Right side: \[ (5 - 3x) + 9 = 5 - 3x + 9 = 14 - 3x \] Now the equation is: \[ 2x = 14 - 3x \] 2. **Combine like terms**. To solve for \(x\), we can add \(3x\) to both sides: \[ 2x + 3x = 14 \] \[ 5x = 14 \] 3. **Divide by 5** to find \(x\): \[ x = \frac{14}{5} \] Thus, the solution is: \[ \boxed{\frac{14}{5}} \quad \text{or} \quad 2.8 \]