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Задача Задача №1660773
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Аноним
29 сентября 2024 09:15 · публичный вопрос
А
Аноним

-2(3-4x)+5(2-1,6x)=4

Нейросеть29 сентября 2024 09:15

Let's solve the equation step by step:

The given equation is:

\[ -2(3 - 4x) + 5(2 - 1.6x) = 4 \]

  1. Distribute the constants:

    \[ -2(3) + (-2)(-4x) + 5(2) + 5(-1.6x) = 4 \]

    This gives:

    \[ -6 + 8x + 10 - 8x = 4 \]

  2. Combine like terms:

    \[ (-6 + 10) + (8x - 8x) = 4 \]

    Simplifying this gives:

    \[ 4 + 0 = 4 \]

  3. Simplify the equation:

    \[ 4 = 4 \]

This is a true statement, which means the equation is satisfied for all values of \(x\). Thus, the solution set is:

\[ \text{All real numbers} \quad (x \in \mathbb{R}) \]

-2(3-4x)+5(2-1,6x)=4
Let's solve the equation step by step: The given equation is: \[ -2(3 - 4x) + 5(2 - 1.6x) = 4 \] 1. **Distribute the constants:** \[ -2(3) + (-2)(-4x) + 5(2) + 5(-1.6x) = 4 \] This gives: \[ -6 + 8x + 10 - 8x = 4 \] 2. **Combine like terms:** \[ (-6 + 10) + (8x - 8x) = 4 \] Simplifying this gives: \[ 4 + 0 = 4 \] 3. **Simplify the equation:** \[ 4 = 4 \] This is a true statement, which means the equation is satisfied for all values of \(x\). Thus, the solution set is: \[ \text{All real numbers} \quad (x \in \mathbb{R}) \]