Question

Put the steps in order for solving the equation:
-2(4x + 8) + 8) + 2x = -5x + 10
Get x-terms together on one side: -16 - x + 10
Get constants together on one side: -26 = x
Distribute: -8x - 16 + 2 = -5x + 10
Combine Like Terms: -6x - 16 = -5x + 10

Answer 1

are you sure this is correct

Answer 2

To solve the equation \(-2(4x + 8) + 8 + 2x = -5x + 10\), we can order the steps as follows:

1. **Distribute**: \(-2(4x + 8) + 8 + 2x = -5x + 10\) becomes
\(-8x - 16 + 8 + 2x = -5x + 10\).

2. **Combine Like Terms**: On the left side, combine the constants and the \(x\)-terms:
\(-6x - 8 = -5x + 10\).

3. **Get x-terms together on one side**: Add \(5x\) to both sides:
\(-6x + 5x - 8 = 10\) becomes
\(-x - 8 = 10\).

4. **Get constants together on one side**: Add 8 to both sides:
\(-x = 18\).

5. **Solve for x**: Multiply by -1:
\(x = -18\).

So, the steps in proper order are:
1. Distribute
2. Combine Like Terms
3. Get x-terms together on one side
4. Get constants together on one side
5. Solve for x

Answer 3

Let’s carefully go through the steps again for solving the equation \(-2(4x + 8) + 8 + 2x = -5x + 10\).

**1. Distribute:** First, apply the distributive property:
\[
-2(4x + 8) + 8 + 2x = -5x + 10
\]
This expands to:
\[
-8x - 16 + 8 + 2x = -5x + 10
\]

**2. Combine Like Terms:** Now, simplify the left side:
\[
-8x + 2x - 16 + 8 = -5x + 10
\]
This gives:
\[
-6x - 8 = -5x + 10
\]

**3. Get x-terms together on one side:** Next, add \(5x\) to both sides:
\[
-6x + 5x - 8 = 10
\]
This simplifies to:
\[
-x - 8 = 10
\]

**4. Get constants together on one side:** Add \(8\) to both sides:
\[
-x = 18
\]

**5. Solve for x:** Multiply both sides by \(-1\):
\[
x = -18
\]

The order I provided for the original steps remains accurate, leading us correctly to the solution that \(x = -18\). If there was any misunderstanding about those instructions, please let me know so I can clarify!