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Задача Задача №2633513
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Аноним
16 января 2025 05:22 · публичный вопрос
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Аноним

20-7(5x-4) =6

Ответ нейросети
16 января 2025 05:22

To solve the equation \( 20 - 7(5x - 4) = 6 \), follow these steps:

  1. Distribute \( -7 \) across the term \( (5x - 4) \): \[ 20 - 35x + 28 = 6 \]

  2. Combine like terms on the left side: \[ 48 - 35x = 6 \]

  3. Isolate the term with \( x \) by subtracting 48 from both sides: \[ -35x = 6 - 48 \] \[ -35x = -42 \]

  4. Divide both sides by \( -35 \): \[ x = \frac{-42}{-35} \] \[ x = \frac{42}{35} \]

  5. Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 7: \[ x = \frac{6}{5} \]

So, the solution to the equation is: \[ x = \frac{6}{5} \quad \text{or} \quad 1.2 \]