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The equation −3x−9=−21

is solved as follows. Enter the correct numbers to complete the solution.(1 point)
−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

Let's solve the equation step by step.

Starting with the equation:

\[ -3x - 9 = -21 \]

First, add 9 to both sides of the equation:

\[ -3x - 9 + 9 = -21 + 9 \]

This simplifies to:

\[ -3x = -12 \]

Now, we divide both sides of the equation by -3:

\[ x = \frac{-12}{-3} \]

This simplifies to:

\[ x = 4 \]

So, to fill in the blanks:

  1. After adding 9 to both sides, we have: \(-3x = -12\)

  2. After dividing both sides by -3, we have: \(x = 4\)

Therefore, the completed solution looks like this:

  1. \(-3x = -12\)
  2. \(x = 4\)