The equation −3x−9=−21 is solved as follows. Enter the correct numbers to complete the solution.(2 points) −3x−9=−21 −3x= Add 9 to both sides of the equation. x= Divide both sides of the equation by -3. If the answer is an improper fraction, enter the improper fraction.

1 answer

To solve the equation \( -3x - 9 = -21 \), we can follow the steps given:

  1. Starting with the equation: \[ -3x - 9 = -21 \]

  2. Add 9 to both sides: \[ -3x - 9 + 9 = -21 + 9 \] Simplifying this gives: \[ -3x = -12 \]

  3. Now, divide both sides by -3: \[ x = \frac{-12}{-3} \] Simplifying this gives: \[ x = 4 \]

Thus, the completed solution includes:

  • The first blank should be filled with -12.
  • The second blank should be filled with the final answer 4.

So, the complete solution can be summarized as:

  1. \( -3x - 9 = -21 \)
  2. \( -3x = -12 \) (after adding 9)
  3. \( x = 4 \) (after dividing by -3)
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