Question

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

Answer 1

To solve the equation \(-2(4x + 8) + 2x = -5x + 10\), you can follow these steps in order:

1. **Distribute** the \(-2\) on the left side:
- This results in: \(-8x - 16 + 2x = -5x + 10\)

2. **Combine like terms** on the left side:
- Combine \(-8x\) and \(2x\) to get: \(-6x - 16 = -5x + 10\)

3. **Isolate the variable**:
- Add \(6x\) to both sides: \(-16 = x + 10\)

4. **Solve for \(x\)**:
- Subtract \(10\) from both sides: \(-26 = x\)

Putting it all together, the correct steps are:
1. Distribute \(-2\) to get \(-8x - 16 + 2x = -5x + 10\).
2. Combine like terms to obtain \(-6x - 16 = -5x + 10\).
3. Add \(6x\) to both sides, leading to \(-16 = x + 10\).
4. Finally, subtract \(10\) to solve for \(x\), yielding \(x = -26\).