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?
Let Juwan's number be represented by x.
Twice the sum of Juwan's number and 12 is equal to four less than three times Juwan's number can be written as:
2(x + 12) = 3x - 4
Expanding the left side:
2x + 24 = 3x - 4
Subtracting 2x from both sides:
24 = x - 4
Adding 4 to both sides:
28 = x
Therefore, Juwan is thinking of the number 28.
Let's break down the problem step by step:
Let's assume Juwan's number is 'x'.
Twice the sum of Juwan’s number and 12 is equal to four less than three times Juwan’s number.
This can be written as:
2(x + 12) = 3x - 4
Next, let's simplify the equation:
2x + 24 = 3x - 4
Now, let's solve for 'x':
2x - 3x = -4 - 24
-x = -28
Divide both sides by '-1' to solve for 'x' and change the sign:
x = 28
Therefore, Juwan is thinking of the number 28.