Final answer:
The given equation -3x+9-2x=-12-5x has no solution because it simplifies to 9 = -12, which is a contradiction. Unlike a quadratic equation, where two solutions are found using the quadratic formula, this linear equation does not have any solution that satisfies the equality.
Step-by-step explanation:
The algebraic expression you've written, -3x+9-2x=-12-5x, is a linear equation which can be solved for the variable x. First, let's combine like terms on each side of the equation.
Adding the terms involving x on the left side gives us -5x+9=-12-5x.
Since the x terms on both sides of the equation are the same, we can add 5x to both sides to isolate the constant terms.
We get 9 = -12, which is not true and therefore, indicates that there is no solution to this equation because it represents a contradiction.