Simplify $4x-(3x-2)$. A student computed $4x-3x-2$ and concluded the answer is $x-2$. Evaluate the student's work and pick the correct conclusion.

The student is correct: $x-2$ is the properly simplified result after dropping parentheses

The student is not correct: the correct result is $4x-3x-2+2$

The student is not correct: the correct result is $3x-2$

The student is incorrect: the correct result is $x+2$