Final answer:
The equation x(5-2) = 4x - x simplifies to 3x = 3x, which is an identity with an infinite number of solutions.
Step-by-step explanation:
The question asks to match an equation with the appropriate solution type. First, let's simplify the given equation x(5-2) = 4x - x. Simplifying the left side we get 3x, and on the right side, we get 3x after combining like terms. So the equation is 3x = 3x.
This type of equation is called an identity because it is true for all values of the variable x. An identity means that the two expressions are equivalent, resulting in an infinite number of solutions.