Вопрос:

Solve the following equation: -6(1.5x + 3) - 123 = - (13 - 7x)

Смотреть решения всех заданий с листа

Ответ:

Let's solve this equation step-by-step!

Brief explanation: To solve for x, we need to simplify both sides of the equation by distributing, combining like terms, and then isolating x.

Step-by-step solution:

  1. Step 1: Distribute the -6 on the left side and the negative sign on the right side.
    \( -6 \cdot 1.5x - 6 \cdot 3 - 123 = -13 + 7x \)
    \( -9x - 18 - 123 = -13 + 7x \)
  2. Step 2: Combine the constant terms on the left side.
    \( -9x - 141 = -13 + 7x \)
  3. Step 3: Move all terms with x to one side and constant terms to the other. Let's add 9x to both sides and add 13 to both sides.
    \( -141 + 13 = 7x + 9x \)
    \( -128 = 16x \)
  4. Step 4: Isolate x by dividing both sides by 16.
    \( x = \frac{-128}{16} \)
    \( x = -8 \)

Answer: -8

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