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Задача Задача №1331786
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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 \( 12 + 4(x - 3) - 2x = (5 - 3x) + 9 \), let's start by simplifying both sides.

Step 1: Simplify both sides.

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

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

So the equation can be rewritten as: \[ 2x = 14 - 3x \]

Step 2: Solve for \(x\).

Add \(3x\) to both sides: \[ 2x + 3x = 14 \] \[ 5x = 14 \]

Now, divide by \(5\): \[ x = \frac{14}{5} \]

Final Answer:

\[ x = \frac{14}{5} \] or \(x = 2.8\) in decimal form.

12 + 4(х – 3) – 2х = (5 – 3х) + 9
To solve the equation \( 12 + 4(x - 3) - 2x = (5 - 3x) + 9 \), let's start by simplifying both sides. ### Step 1: Simplify both sides. **Left side:** \[ 12 + 4(x - 3) - 2x = 12 + 4x - 12 - 2x = 2x \] **Right side:** \[ (5 - 3x) + 9 = 5 - 3x + 9 = 14 - 3x \] So the equation can be rewritten as: \[ 2x = 14 - 3x \] ### Step 2: Solve for \(x\). Add \(3x\) to both sides: \[ 2x + 3x = 14 \] \[ 5x = 14 \] Now, divide by \(5\): \[ x = \frac{14}{5} \] ### Final Answer: \[ x = \frac{14}{5} \] or \(x = 2.8\) in decimal form.