Question

Fill in the blanks to follow the steps in solving the equation: 5x−12−6x=−10x+7−1 (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 The option "x = -2" (13 of 13) has been selected. Press tab to choose a response area, and spacebar to insert it. Press escape to cancel.

Answer 1

To solve the equation \( 5x - 12 - 6x = -10x + 7 - 1 \), follow these steps:

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

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

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

Step 4: Get the x by itself by using the inverse operation
Response: \( 9x = 18 \)

Finally, dividing both sides by 9 gives:

Response: \( x = 2 \)

However, if you're referring to "x = -2", it seems there might be an error in calculations. The steps provided lead to \( x = 2 \), so ensure to double-check the arithmetic.