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: \[ x = -9 \]