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's assume Juwan's number is represented by the variable "x".
The given information can be represented in the following equation:
2(x + 12) = 3x - 4
Simplifying the equation:
2x + 24 = 3x - 4
Now, let's isolate the "x" variable by 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 the number Juwan is thinking of as "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
Now, let's solve the equation:
First, expand the brackets:
2x + 24 = 3x - 4
Next, move all the terms involving "x" to one side of the equation:
2x - 3x = -4 - 24
Simplifying further:
-x = -28
Now, multiply both sides of the equation by -1 to get the value of x:
x = 28
Therefore, the number Juwan is thinking of is 28.