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Put the steps in order for solving the equation:

-2(4x + 8) + 8) + 2x = -5x + 10
Get x-terms together on one side: -16 - x + 10
Get constants together on one side: -26 = x
Distribute: -8x - 16 + 2 = -5x + 10
Combine Like Terms: -6x - 16 = -5x + 10

3 answers

To solve the equation \(-2(4x + 8) + 8 + 2x = -5x + 10\), we can order the steps as follows:

  1. Distribute: \(-2(4x + 8) + 8 + 2x = -5x + 10\) becomes \(-8x - 16 + 8 + 2x = -5x + 10\).

  2. Combine Like Terms: On the left side, combine the constants and the \(x\)-terms: \(-6x - 8 = -5x + 10\).

  3. Get x-terms together on one side: Add \(5x\) to both sides: \(-6x + 5x - 8 = 10\) becomes \(-x - 8 = 10\).

  4. Get constants together on one side: Add 8 to both sides: \(-x = 18\).

  5. Solve for x: Multiply by -1: \(x = -18\).

So, the steps in proper order 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
are you sure this is correct

Let’s carefully go through the steps again for solving the equation \(-2(4x + 8) + 8 + 2x = -5x + 10\).

1. Distribute: First, apply the distributive property: \[ -2(4x + 8) + 8 + 2x = -5x + 10 \] This expands to: \[ -8x - 16 + 8 + 2x = -5x + 10 \]

2. Combine Like Terms: Now, simplify the left side: \[ -8x + 2x - 16 + 8 = -5x + 10 \] This gives: \[ -6x - 8 = -5x + 10 \]

3. Get x-terms together on one side: Next, add \(5x\) to both sides: \[ -6x + 5x - 8 = 10 \] This simplifies to: \[ -x - 8 = 10 \]

4. Get constants together on one side: Add \(8\) to both sides: \[ -x = 18 \]

5. Solve for x: Multiply both sides by \(-1\): \[ x = -18 \]

The order I provided for the original steps remains accurate, leading us correctly to the solution that \(x = -18\). If there was any misunderstanding about those instructions, please let me know so I can clarify!