Question

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


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

Thank you!! *hugs*

Answer 2

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 3

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