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

Question

awnsers: = Get x-terms together on one side: -16 = +10
Combine Like Terms: --6x165x+10
= Get constants together on one side: -26 =
= Distribute: -8x16+2x = -5x+10

Answer 1

To solve the equation \( -2(4x+8)+2x = -5x+10 \), the steps should be arranged in the following order:

1. Distribute: \(-2(4x+8) + 2x = -5x + 10\) becomes \(-8x - 16 + 2x = -5x + 10\).
2. Combine Like Terms: \(-8x + 2x - 16 = -5x + 10\) simplifies to \(-6x - 16 = -5x + 10\).
3. Get x-terms together on one side: Add \(5x\) to both sides, giving \(-6x + 5x - 16 = 10\), which simplifies to \(-x - 16 = 10\).
4. Get constants together on one side: Next, add \(16\) to both sides to isolate the x-term: \(-x = 26\).

So the correct order of steps is:

1. Distribute: \(-2(4x+8) + 2x = -5x + 10\)
2. Combine Like Terms: \(-6x - 16 = -5x + 10\)
3. Get x-terms together on one side
4. Get constants together on one side