what you want to do is get x by itself:
2x+2=2x+8 (subtract 2 on both sides)
2x=2x+6 (subtract the 2x that's on the right side)
0=6
the +2x and the -2x cancel out making a zero. that leaves you with 0=6, 0 doesn't = 6 so there is no answer/ No Solution.
