Final answer:
The student's equation 2x - 9 = -3 is solved by first adding 9 to both sides to get 2x = 6, and then dividing by 2 to find that x = 3.
Step-by-step explanation:
The student is asking how to solve the equation 2x - 9 = -3. To solve for x, we need to isolate the variable on one side of the equation.
- Add 9 to both sides of the equation: 2x - 9 + 9 = -3 + 9 which simplifies to 2x = 6.
- Now, divide both sides by 2 to solve for x: 2x/2 = 6/2 which simplifies to x = 3.
Therefore, the solution to the equation 2x - 9 = -3 is x = 3.