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

Question

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

2. Get constants together on one side: -26 = x

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

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

Answer 1

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

1. Distribute: \(-2(4x + 8)\) becomes \(-8x - 16\), so the equation becomes \(-8x - 16 + 2x = -5x + 10\). This corresponds to option 4.

2. Combine Like Terms: Combine the \(x\) terms on the left side: \(-8x + 2x = -6x\), which gives you \(-6x - 16 = -5x + 10\). This corresponds to option 1.

3. Get x-terms together on one side: Add \(5x\) to both sides to get together the \(x\) terms: \(-6x + 5x = 10 + 16\), resulting in \(-16 = x + 10\). This corresponds to option 3.

4. Get constants together on one side: Subtract \(10\) from both sides to isolate \(x\): \(-26 = x\). This corresponds to option 2.

So, the correct order of the steps is: 4 → 1 → 3 → 2.

Answer 2

Thank you!! *hugs*

Answer 3

You're welcome! hugs back If you have any more questions or need further assistance, feel free to ask! 😊