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−5(x−3)−2x−2=

−43

1 answer

To solve the equation \(-5(x - 3) - 2x - 2 = -43\), follow these steps:

  1. Distribute \(-5\) across \((x - 3)\): \[ -5x + 15 - 2x - 2 = -43 \]

  2. Combine like terms on the left side: \[ -5x - 2x + 15 - 2 = -43 \] \[ -7x + 13 = -43 \]

  3. Subtract \(13\) from both sides: \[ -7x + 13 - 13 = -43 - 13 \] \[ -7x = -56 \]

  4. Divide both sides by \(-7\): \[ x = \frac{-56}{-7} \] \[ x = 8 \]

So, the solution to the equation is \(x = 8\).