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 point)

Question

Responses

5.6
5.6

20
20

28
28

16

Answer 1

Let's start by letting Juwan's number be represented by \( x \).

According to the problem, we can set up the following equation based on the information given:

\[ 2(x + 12) = 3x - 4 \]

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

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

2. Next, we'll move the \( 2x \) to the right side of the equation: \[ 24 = 3x - 2x - 4 \] Simplifying, we get: \[ 24 = x - 4 \]

3. Now, add 4 to both sides: \[ 24 + 4 = x \] Simplifying, we find: \[ x = 28 \]

Therefore, Juwan is thinking of the number 28.