\( \left. \begin{array} { l l | l } { 2 } & { 12 x - 12 = 24 } & { 3 } \end{array} \right. \)

To solve the equation \( 12x - 12 = 24 \), we will follow these steps: 1. **Isolate the variable term**: We will add 12 to both sides of the equation to eliminate the constant on the left side. 2. **Solve for \( x \)**: After isolating the variable term, we will divide by the coefficient of \( x \). Let's perform these steps: 1. Start with the equation: \[ 12x - 12 = 24 \] 2. Add 12 to both sides: \[ 12x - 12 + 12 = 24 + 12 \] This simplifies to: \[ 12x = 36 \] 3. Now, divide both sides by 12 to solve for \( x \): \[ x = \frac{36}{12} \] This simplifies to: \[ x = 3 \] Thus, the solution to the equation \( 12x - 12 = 24 \) is \( x = 3 \).