Does this equation have one solution, many solution or no solutions? and why? I need to show my work

Answer: I worked it out on a piece of paper then attached it. It is a No Solution
Step-by-step explanation:
Answer:
−12x−4=−(x+1)
−12x−4=−x−1
−11x−4=−1
−11x=3
and this is your answer x=−3/11