To solve the equation \( X - 12 = \frac{X}{4} \), let's start by eliminating the fraction. We can do this by multiplying through by 4 (the denominator) to get rid of the fraction.
Multiply both sides by 4: \[ 4(X - 12) = X \]
Distribute on the left side: \[ 4X - 48 = X \]
Now, isolate \( X \) by subtracting \( X \) from both sides: \[ 4X - X - 48 = 0 \] This simplifies to: \[ 3X - 48 = 0 \]
Add 48 to both sides: \[ 3X = 48 \]
Finally, divide both sides by 3: \[ X = \frac{48}{3} = 16 \]
Thus, the solution is \( X = 16 \).