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

Question

(4 points)
Arrange responses in the correct order to answer the question. Select a response, navigate to the desired position and insert response at that position. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can be moved using the up and down arrow keys or by dragging with a mouse.

Answer 1

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

1. Distribute \(-2\) in the left side of the equation.
2. Combine like terms on the left side.
3. Add \(5x\) to both sides to get all \(x\) terms on one side.
4. Isolate \(x\) by subtracting or adding constants as needed, then divide by the coefficient of \(x\).

Here’s how the steps would look in order:

1. Distribute \(-2\) in the left side of the equation.
2. Combine like terms on the left side.
3. Add \(5x\) to both sides to get all \(x\) terms on one side.
4. Isolate \(x\) by subtracting or adding constants as needed, then divide by the coefficient of \(x\).

Make sure to check your work for any arithmetic errors!