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?

1 answer

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 \( x \):

  1. First, subtract \( x \) from both sides of the equation:

\[ 12 = 3x - x - 4 \]

This simplifies to:

\[ 12 = 2x - 4 \]

  1. Next, add 4 to both sides:

\[ 12 + 4 = 2x \]

This simplifies to:

\[ 16 = 2x \]

  1. Now, divide both sides by 2:

\[ x = 8 \]

Thus, Juwan is thinking of the number \( \boxed{8} \).