Solve for x in simplest form. \[ 9=\frac{1}{3}(4 x-12) \]

First, let's tackle that equation step-by-step. To eliminate the fraction, multiply both sides by 3: \[ 3 \times 9 = 4x - 12 \] This simplifies down to: \[ 27 = 4x - 12 \] Now, we want to isolate \( 4x \). Add 12 to both sides: \[ 27 + 12 = 4x \] So, we get: \[ 39 = 4x \] Now, divide both sides by 4 to solve for \( x \): \[ x = \frac{39}{4} \] Thus, the simplest form of \( x \) is: \[ x = 9.75 \text{ or } x = \frac{39}{4} \] depending on how you prefer to express it!