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

= Get constants together on one side: -26 = T

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

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

= 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: \[-2(4x + 8) + 2x = -5x + 10\] becomes \[-8x - 16 + 2x = -5x + 10\]

  2. Combine Like Terms: \[-8x - 16 + 2x = -5x + 10\] simplifies to \[-6x - 16 = -5x + 10\]

  3. Get x-terms together on one side: Add \(5x\) to both sides: \[-6x + 5x - 16 = 10\] which results in \[-x - 16 = 10\]

  4. Get constants together on one side: Add \(16\) to both sides: \[-x = 10 + 16\] which simplifies to \[-x = 26\]

  5. Solve for x: Multiply by \(-1\): \[x = -26\]

So the correct ordered steps are:

  1. Distribute
  2. Combine Like Terms
  3. Get x-terms together on one side
  4. Get constants together on one side
  5. Solve for x