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Задача Задача №2659517
А
Аноним
21 января 2025 19:51 · публичный вопрос
А
Аноним

5(х-0,2)-4(5х-0,3)=1,7-12

Ответ нейросети
21 января 2025 19:51

Let's solve the equation step-by-step:

The equation is:

\[ 5(x - 0.2) - 4(5x - 0.3) = 1.7 - 12 \]

First, simplify the right side:

\[ 1.7 - 12 = -10.3 \]

Now, substitute this back into the equation:

\[ 5(x - 0.2) - 4(5x - 0.3) = -10.3 \]

Next, distribute the terms on the left side:

  1. Calculate \( 5(x - 0.2) \): \[ 5x - 5 \cdot 0.2 = 5x - 1 \]

  2. Calculate \( -4(5x - 0.3) \): \[ -4 \cdot 5x + 4 \cdot 0.3 = -20x + 1.2 \]

Now, substitute these back into the equation:

\[ (5x - 1) + (-20x + 1.2) = -10.3 \]

Combine like terms:

\[ 5x - 20x - 1 + 1.2 = -10.3 \]

This simplifies to:

\[ -15x + 0.2 = -10.3 \]

Now, subtract 0.2 from both sides:

\[ -15x = -10.3 - 0.2 \] \[ -15x = -10.5 \]

Now, divide both sides by -15:

\[ x = \frac{-10.5}{-15} \]

This gives:

\[ x = \frac{10.5}{15} = \frac{7}{10} = 0.7 \]

So the solution to the equation is:

\[ x = 0.7 \]