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Question

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Question
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.

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Answer 1

To solve the equation \( -3x - 9 = -21 \), we can follow the steps provided and fill in the blanks.

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

2. Add 9 to both sides of the equation: \[ -3x = -21 + 9 \] Simplifying the right side gives: \[ -3x = -12 \]

3. Next, divide both sides of the equation by -3: \[ x = \frac{-12}{-3} \] Simplifying the right side gives: \[ x = 4 \]

So, to fill in the blanks:

• After adding 9 to both sides, the equation becomes: \[ -3x = -12 \]

• After dividing by -3, the solution for \( x \) is: \[ x = 4 \]

Thus, the filled-in answers are:

• First blank: \(-12\)
• Second blank: \(4\)