When you're solving an equation, there are three possibilities. Two of which are chosen if your statement is true or not.
If you're able to get x alone, there is one solution. However, If all of the variables are eliminated and you're left with a false statement, that will be no solution. Example: 1=5? False.
If all of the variables are eliminated and you're left with a true statement, that solution is all real numbers. Example: 5=5? True.
