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Question

Question
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.

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Answer 1

To solve the equation \(-3x - 9 = -21\), let's go through it step-by-step.

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

2. Add 9 to both sides: \[ -3x = -21 + 9 \] Now, calculate \(-21 + 9\): \[ -3x = -12 \]

3. Next, divide both sides by -3: \[ x = \frac{-12}{-3} \] This simplifies to: \[ x = 4 \]

So, the completed parts of the solution are:

• The first blank (after \( -3x = \)) is \(-12\).
• The second blank (for \( x = \)) is \(4\).

Final answer:

• \( -3x = -12 \)
• \( x = 4 \)