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












page 6 of 6

Answer 1

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

### Step 1: Combine like terms
- On the left side: \( 5x - 6x = -x \), so it becomes \( -x - 12 \).
- On the right side: \( 7 - 1 = 6 \), so it becomes \( -10x + 6 \).
- Thus, the equation simplifies to:
\[
-x - 12 = -10x + 6
\]

### Step 2: Get x-terms on the same side of the equation
- Add \( 10x \) to both sides:
\[
-x + 10x - 12 = 6
\]
- This simplifies to:
\[
9x - 12 = 6
\]

### Step 3: Get constants on the same side of the equation
- Add \( 12 \) to both sides:
\[
9x - 12 + 12 = 6 + 12
\]
- This simplifies to:
\[
9x = 18
\]

### Step 4: Get x by itself by using the inverse operation
- Divide both sides by \( 9 \):
\[
x = \frac{18}{9}
\]
- Thus, \( x = 2 \).

Now, filling in the blanks:

- Step 1: Combine like terms - **Combine \(5x\) and \(-6x\) on the left and simplify \(7 - 1\) on the right.**
- Step 2: Get x-terms on the same side of the equation - **Add \(10x\) to both sides.**
- Step 3: Get constants on the same side of the equation - **Add \(12\) to both sides.**
- Step 4: Get x by itself by using the inverse operation - **Divide both sides by \(9\).**

These responses can now be inserted into your response areas.