17. Solve the equation filling in the steps: 2(x−3)+21=−3 (6 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. 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 The option "2 x minus 6 plus 21 is equal to negative 3" (7 of 14) has been selected. Press tab to choose a response area, and spacebar to insert it. Press escape to cancel.
1 answer
To solve the equation \( 2(x - 3) + 21 = -3 \), let's fill in the steps.
Distribute to get: \[ 2x - 6 + 21 = -3 \]
Combine like terms to get: \[ 2x + 15 = -3 \]
Use the subtraction property of equality to get: \[ 2x = -3 - 15 \]
Use the addition property of equality to get: \[ 2x = -18 \]
Use the division property of equality to get: \[ x = -9 \]
This is the final solution to the equation. You should fill in the responses based on the provided steps and equivalent equations.
