Answer
Not correct.
When a true statement such as $0 = 0$ results, the equation is an identity. For an identity, the correct solution set is {all real numbers}.
Work Step by Step
Solving $3(2x-8)=6x-24$:
Step 1: $6x-24=6x-24$
Step 2: Adding $24$ to both sides, $6x-24+24=6x-24=24$
Step 3: $6x=6x$
Step 4: Subtracting $6x$ from both sides, $6x-6x=6x-6x$
Step 5: $0=0$
Therefore, the student does indeed obtain an accurate result. However, the solution set selected by the student is wrong. This is because when a true statement such as $0 = 0$ results, the equation is an identity. For an identity, the correct solution set is {all real numbers}.
