Question

Put the steps in order for solving the equation: −2(4x+8)+2x = −5x+10

= Get constants together on one side: -26 = T

= Distribute: -8x-16+2x =- 5x + 10

= Get x-terms together on one side: -16 = x + 10

= Combine Like Terms: -- 6x -16 =- 5x + 10

Answer 1

Here are the steps in the correct order for solving the equation \(-2(4x + 8) + 2x = -5x + 10\):

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

2. **Combine Like Terms**:
\[-8x - 16 + 2x = -5x + 10\]
simplifies to
\[-6x - 16 = -5x + 10\]

3. **Get x-terms together on one side**:
Add \(5x\) to both sides:
\[-6x + 5x - 16 = 10\]
which results in
\[-x - 16 = 10\]

4. **Get constants together on one side**:
Add \(16\) to both sides:
\[-x = 10 + 16\]
which simplifies to
\[-x = 26\]

5. **Solve for x**:
Multiply by \(-1\):
\[x = -26\]

So the correct ordered steps 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