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) Responses 16 16 28 28 20 20 5.6

Answer 1

Let's define Juwan's number as \( x \).

According to the problem statement, we have the equation:

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

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

First, distribute the 2 on the left side:

\[ 2x + 24 = 3x - 4 \]

Next, we will move all terms involving \( x \) to one side and constant terms to the other. Subtract \( 2x \) from both sides:

\[ 24 = x - 4 \]

Now, add 4 to both sides:

\[ 24 + 4 = x \] \[ x = 28 \]

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