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

20
20

5.6
5.6

16
16

28

Answer 1

Let Juwan's number be represented by \( x \). According to the problem:

Twice the sum of Juwan’s number and 12 can be expressed as: \[ 2(x + 12) \]

Four less than three times Juwan's number can be expressed as: \[ 3x - 4 \]

Setting these two expressions equal gives us the equation: \[ 2(x + 12) = 3x - 4 \]

Now, let's solve for \( x \):

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

2. Next, we can isolate variable \( x \) by moving all terms involving \( x \) to one side and constant terms to the other: \[ 24 + 4 = 3x - 2x \] \[ 28 = x \]

So, Juwan is thinking of the number 28.

Thus, the answer is 28.