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Задача Задача №2637969
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Аноним
17 января 2025 19:44 · публичный вопрос
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Аноним

5x+(3x-3)=6x+11

Ответ нейросети
17 января 2025 19:44

To solve the equation \(5x + (3x - 3) = 6x + 11\), we will first simplify both sides of the equation.

  1. Distribute and combine like terms on the left side: \[ 5x + 3x - 3 = 6x + 11 \]

    This simplifies to: \[ 8x - 3 = 6x + 11 \]

  2. Next, we will isolate \(x\) by subtracting \(6x\) from both sides: \[ 8x - 6x - 3 = 11 \] This simplifies to: \[ 2x - 3 = 11 \]

  3. Now add 3 to both sides to get rid of the constant term on the left side: \[ 2x - 3 + 3 = 11 + 3 \] This simplifies to: \[ 2x = 14 \]

  4. Finally, divide both sides by 2 to solve for \(x\): \[ x = \frac{14}{2} = 7 \]

So, the solution is: \[ \boxed{7} \]