Fill in the blanks to follow the steps in solving the equation: 5x−12−6x=−10x+7−1

Question

(4 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.
5x−12−6x=−10x+7−1
Step 1: Combine like terms Response area,

Step 2: Get x-terms on same side of equation Response area

Step 3: Get constants on same side of equation Response area

Step 4: Get the x by itself by using the inverse operation Response area

Answer 1

To solve the equation \(5x - 12 - 6x = -10x + 7 - 1\), we will follow the steps outlined. Here are the responses for each step:

Step 1: Combine like terms
Response: \( -x - 12 = -10x + 6 \)

Step 2: Get x-terms on the same side of equation
Response: \( -x + 10x - 12 = 6 \)

Step 3: Get constants on the same side of equation
Response: \( 9x = 6 + 12 \)

Step 4: Get the x by itself by using the inverse operation
Response: \( x = \frac{18}{9} \) or \( x = 2 \)

You can input these responses in the corresponding areas for each step.