Let's solve the equation step by step. The given equation is:
\[ 2(x - 3) + 21 = -3 \]
Step 1: Distribute to get
Distributing \( 2 \) inside the parentheses:
\[ 2(x) - 2(3) + 21 = -3 \]
This simplifies to:
\[ 2x - 6 + 21 = -3 \]
So, the answer is:
Distribute to get \( 2x - 6 + 21 = -3 \).
Step 2: Combine like terms to get
Now, we combine the like terms \(-6\) and \(21\):
\[ 2x + ( -6 + 21 ) = -3 \]
This simplifies to:
\[ 2x + 15 = -3 \]
So, the answer is:
Combine like terms to get \( 2x + 15 = -3 \).
Step 3: Use the (choose a property) to get (resulting equation)
Next, we want to isolate the term with \( x \) by using the addition property of equality. We subtract \( 15 \) from both sides:
\[ 2x + 15 - 15 = -3 - 15 \]
This results in:
\[ 2x = -18 \]
So, the answer is:
Use the addition property of equality to get \( 2x = -18 \).
Step 4: Use the (choose a property) to get (resulting answer)
Finally, we need to solve for \( x \) using the multiplication property of equality by dividing both sides by \( 2 \):
\[ \frac{2x}{2} = \frac{-18}{2} \]
This simplifies to:
\[ x = -9 \]
So, the answer is:
Use the multiplication property of equality to get \( x = -9 \).
In summary, we have:
- Distribute to get \( 2x - 6 + 21 = -3 \).
- Combine like terms to get \( 2x + 15 = -3 \).
- Use the addition property of equality to get \( 2x = -18 \).
- Use the multiplication property of equality to get \( x = -9 \).