Question

Solve the equation filling in the steps: 2(x−3)+21=−3(6 points)
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Distribute to get Response area

Combine like terms to get Response area

Use the (choose a property) Response area to get (resulting equation) Response area

Use the (choose a property) Response area to get (resulting answer) Response area

# x =24

#: 2x =- 18

:: Subtraction Property of Equality

# 2x-6+21 =- 3

:: 2x+15 =- 3

# 2x-3+21 =- 3

# x =- 21

#: Multiplication Property of Equality

#: 2x+18 =- 3

:: 2x =- 21

#-1x =- 24

# Division Property of Equality

# Addition Property of Equality

# =- 9

Answer 1

Let's solve the equation step-by-step by filling in the necessary responses.

Given the equation:

\[ 2(x−3)+21=−3 \]

### Step 1: Distribute
First, we need to distribute the \(2\) in the equation.

Distributing gives us:
\[ 2x - 6 + 21 = -3 \]

So, the response is:
**Distribute to get:** 2x - 6 + 21 = -3

### Step 2: Combine like terms
Next, we combine like terms on the left side of the equation.

Combining \(-6 + 21\) gives us \(15\):
\[ 2x + 15 = -3 \]

So, the response is:
**Combine like terms to get:** 2x + 15 = -3

### Step 3: Isolate the variable
To isolate \(x\), we'll use the **Subtraction Property of Equality**:

Subtract \(15\) from both sides:
\[ 2x = -3 - 15 \]

Calculating gives us:
\[ 2x = -18 \]

So, the response is:
**Use the (choose a property) response area to get:** 2x = -18

### Step 4: Solve for x
Now, we can solve for \(x\) using the **Division Property of Equality**:

Divide both sides by \(2\):
\[ x = \frac{-18}{2} \]

Calculating gives us:
\[ x = -9 \]

So, the response is:
**Use the (choose a property) response area to get:** x = -9

### Summary of results:
The final result of the equation is:
\[ x = -9 \]