Juwan is thinking of a number. Twice the sum of Juwan's number and 12 is equal to four less than three times Juwan's number. What number is Juwan thinking of?

Let Juwan's number be \( x \).

According to the problem, we have:
\[
2(x + 12) = 3x - 4
\]

Now, let's simplify and solve the equation step by step.

1. Distribute the 2 on the left side:
\[
2x + 24 = 3x - 4
\]

2. To isolate \( x \), we can subtract \( 2x \) from both sides:
\[
24 = 3x - 2x - 4
\]
\[
24 = x - 4
\]

3. Next, add 4 to both sides to solve for \( x \):
\[
24 + 4 = x
\]
\[
x = 28
\]

Thus, Juwan is thinking of the number \( \boxed{28} \).