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

Question

(THEY ARE OUT OF ORDER, PUT THE STEPS IN ORDER)
1. Get constants together on one side: -26 = x
2. Combine like terms: -6x - 16 = -5x + 10
3. Get x-terms together on one side: -16 = x + 10
4. Distribute: -8x - 16 + 2x = -5x + 10

Answer 1

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

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

2. Combine like terms: This simplifies to \(-6x - 16 = -5x + 10\). (This corresponds to step 2.)

3. Get x-terms together on one side: Moving \(-5x\) to the left side gives \(-16 = x + 10\). (This corresponds to step 3.)

4. Get constants together on one side: Subtracting 10 from both sides leads to \(-26 = x\). (This corresponds to step 1.)

So the correct order is: 4, 2, 3, 1.