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?

Question

A. 16
B. 20
C. 28
D. 5.6

Answer 1

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 \( \boxed{28} \).