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

(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.

Distribute: -8x-16+2x=-5x+10
Get x-terms together on one side: -16=x+10
Get constants together on one side: -26 = x
Combine like terms: -6x -16 = -5x + 10

1 answer

Here are the steps in the correct order for solving the equation \( -2(4x+8)+2x = -5x+10 \):

  1. Distribute: \(-8x - 16 + 2x = -5x + 10\)
  2. Combine like terms: \(-6x - 16 = -5x + 10\)
  3. Get x-terms together on one side: \(-16 = x + 10\)
  4. Get constants together on one side: \(-26 = x\)

So, the ordered steps are:

  1. Distribute: \(-8x - 16 + 2x = -5x + 10\)
  2. Combine like terms: \(-6x - 16 = -5x + 10\)
  3. Get x-terms together on one side: \(-16 = x + 10\)
  4. Get constants together on one side: \(-26 = x\)