You can put this solution on YOUR website! You have to treat this as two separate cases, which will give you two separate answers.
Case 1: left side is positive, and right side is positive.
9x-9=x+7
8x=16
x=2
Case 2: left side is positive, right side is negative
9x-9 = -(x+7)
9x-9 = -x-7
10x = 2
x=2/10
x=1/5