Put the steps in order for solving the equation:

-2(4x - 8) + 2x = -5x + 10

Get the constants on one side: 6=x

combine like terms: -6x+16=-5x+10

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

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

Solve for x: x=6

-2(4x - 8) + 2x = -5x + 10

ignoring the gibberish that follows ....

-8x + 16 + 2x = -5x + 10
-x = -6
x = 6