Let Juwan's number be represented by \( x \). According to the problem, the sum of Juwan's number and 12 is equal to four less than three times Juwan's number. This can be expressed as the equation:
\[ x + 12 = 3x - 4 \]
Now, let's solve for \( x \):
- First, subtract \( x \) from both sides of the equation:
\[ 12 = 3x - x - 4 \]
This simplifies to:
\[ 12 = 2x - 4 \]
- Next, add 4 to both sides:
\[ 12 + 4 = 2x \]
This simplifies to:
\[ 16 = 2x \]
- Now, divide both sides by 2:
\[ x = 8 \]
Thus, Juwan is thinking of the number \( \boxed{8} \).