Final answer:
To solve the student's equation, we multiply both sides by 12, simplify, and solve for x to find that x equals 162.
Step-by-step explanation:
The student's equation is 12(\(x\)/12 - 13) = 12(\(1\)/2). Multiplying both sides of the equation by 12 simplifies the left side by canceling out the 12 in the denominator of the first term and multiplying -13 by 12. We are left with x - 156 = 6. Solving for x involves adding 156 to each side, giving us x = 162.