Question

Fill in the blanks to follow the steps in solving the equation:
5x - 12 - 6x = -10x + 7 - 1
Step 1: Combine like terms ___________
Step 2: Get x-terms on same side of equation ___________
Step 3: Get constants on same side of equation ____________
Step 4: Get the x by itself by using the inverse operation ____________
Options to the question: -1x - 12 = -10x + 6, 5 - 18x = -3x - 1, 1x - 12 = -10x + 6, -12 = -11x + 6, 9x - 12 = 6, -12 = -9x + 6, -18 = 9x, -6 = -9x, -18 = -9x, x = 0, x = 1, x = 2, x = -2

Answer 1

are you sure this is correct

Answer 2

Let's go through the steps to fill in the blanks for solving the equation:

1. **Combine like terms:** Starting with the original equation:
\(5x - 12 - 6x = -10x + 7 - 1\)

On the left side, combine \(5x\) and \(-6x\):
\(-1x - 12\).

On the right side, simplify \(7 - 1\):
\(-10x + 6\).

So we obtain:
\(-1x - 12 = -10x + 6\).

**Step 1:** Combine like terms **-1x - 12 = -10x + 6**.

2. **Get x-terms on the same side of the equation:** Add \(10x\) to both sides:
\(-1x + 10x - 12 = 6\).

This simplifies to:
\(9x - 12 = 6\).

**Step 2:** Get x-terms on the same side of the equation **9x - 12 = 6**.

3. **Get constants on the same side of the equation:** Add \(12\) to both sides:
\(9x = 6 + 12\).

This simplifies to:
\(9x = 18\).

**Step 3:** Get constants on the same side of the equation **9x = 18**.

4. **Get the x by itself using the inverse operation:** Divide both sides by \(9\):
\(x = 2\).

**Step 4:** Get the x by itself using the inverse operation **x = 2**.

So overall, filling in the original blanks:
1. Step 1: Combine like terms **-1x - 12 = -10x + 6**.
2. Step 2: Get x-terms on the same side of equation **9x - 12 = 6**.
3. Step 3: Get constants on the same side of the equation **9x = 18**.
4. Step 4: Get the x by itself using the inverse operation **x = 2**.

Answer 3

Let's go through the steps again clearly and verify the solution for the equation \(5x - 12 - 6x = -10x + 7 - 1\).

1. **Combine like terms:**
Start with the equation:
\(5x - 12 - 6x = -10x + 7 - 1\)

On the left side, combine \(5x\) and \(-6x\):
\((-1)x - 12\)

On the right side, simplify \(7 - 1\):
\(-10x + 6\)

So, we rewrite it as:
\(-1x - 12 = -10x + 6\).
**Step 1:** Combine like terms: **-1x - 12 = -10x + 6**.

2. **Get x-terms on the same side of the equation:**
Add \(10x\) to both sides:
\(-1x + 10x - 12 = 6\)
\(9x - 12 = 6\).
**Step 2:** Get x-terms on the same side of the equation: **9x - 12 = 6**.

3. **Get constants on the same side of the equation:**
Add \(12\) to both sides:
\(9x = 6 + 12\)
\(9x = 18\).
**Step 3:** Get constants on the same side of the equation: **9x = 18**.

4. **Get the x by itself using the inverse operation:**
Divide both sides by \(9\):
\(x = \frac{18}{9}\)
\(x = 2\).
**Step 4:** Get the x by itself using the inverse operation: **x = 2**.

So upon re-evaluating, the steps I provided are indeed correct. Thus, the final answer remains:

- **Step 1:** Combine like terms **-1x - 12 = -10x + 6**,
- **Step 2:** Get x-terms on the same side of equation **9x - 12 = 6**,
- **Step 3:** Get constants on the same side of the equation **9x = 18**,
- **Step 4:** Get the x by itself using the inverse operation **x = 2**.

If you have specific doubts or require further explanation on any of the steps, please let me know!