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

Answer 1

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

1. Distribute the \(-2\) on the left side of the equation: \[ -2 \cdot 4x - 2 \cdot 8 + 2x = -5x + 10 \] This simplifies to: \[ -8x - 16 + 2x = -5x + 10 \]

2. Combine like terms on the left side: \[ (-8x + 2x) - 16 = -5x + 10 \] This simplifies to: \[ -6x - 16 = -5x + 10 \]

3. Add \(5x\) to both sides to get all terms involving \(x\) on one side: \[ -6x + 5x - 16 = 10 \] This simplifies to: \[ -x - 16 = 10 \]

4. Add 16 to both sides to isolate the term with \(x\): \[ -x = 26 \]

5. Multiply both sides by \(-1\) to solve for \(x\): \[ x = -26 \]

So the order of steps is as follows:

1. Distribute \(-2\).
2. Combine like terms.
3. Add \(5x\) to both sides.
4. Add 16 to both sides.
5. Multiply by \(-1\) to solve for \(x\).