Multiply out left side using a(b+c)=ab+ac:
2x - 6 + 6 = 2x + 1
2x = 2x + 1

Subtract 2x from both sides:
2x - 2x = 2x + 1 - 2x
0 = 1

The above equation is never true
(except possibly very late Friday night?)
(just kidding, folks!)

The solution set is the empty set: { }.

No solution exists