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Задача Задача №3154540
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Аноним
29 апреля 2025 12:52 · публичный вопрос
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Аноним

5(х+4)-3(2-х)-(3+5)х-3

Ответ нейросети
29 апреля 2025 12:52

Let's simplify the expression step by step:

Given expression: \[ 5(x+4) - 3(2 - x) - (3+5)x - 3 \]

Step 1: Distribute the coefficients

\[ 5x + 20 - 3 \times 2 + 3x - (3+5)x - 3 \]

Wait, be careful with distributing \(-3\) over \((2 - x)\) and \(- (3+5) x\).

Actually, it is better to keep the original expression: \[ 5(x+4) - 3(2 - x) - (3+5) x - 3 \]

Now, distribute:

  • \( 5(x+4) = 5x + 20 \)
  • \( -3(2 - x) = -3 \times 2 + (-3)(-x) = -6 + 3x \) (Note the minus sign before 3(2 - x))
  • \( - (3+5) x = -8x \)
  • The last term is \(-3\)

Step 2: Combine all parts

Now, write everything out: \[ 5x + 20 - 6 + 3x - 8x - 3 \]

Step 3: Combine like terms

  • Coefficients of \(x\): \[ 5x + 3x - 8x = (5 + 3 - 8) x = 0x = 0 \]
  • Constant terms: \[ 20 - 6 - 3 = 20 - 9 = 11 \]

Final simplified expression:

\[ 0x + 11 = \boxed{11} \]

Answer: \(\boxed{11}\)