Question
Four times the sum of a number and four is the same as two multiplied by two less than three times the number. What is the solution to this problem?
Answers
GPT 3.5
Let's assume the number is x.
The sum of a number and four is x + 4.
Four times the sum of a number and four is 4(x + 4) = 4x + 16.
Two less than three times the number is 3x - 2.
According to the problem, 4x + 16 = 2(3x - 2).
Simplifying the equation, we get 4x + 16 = 6x - 4.
Bringing the variables to one side, we have 6x - 4x = 16 + 4.
Simplifying, we get 2x = 20.
Dividing both sides by 2, we get x = 10.
Therefore, the solution to the problem is x = 10.
The sum of a number and four is x + 4.
Four times the sum of a number and four is 4(x + 4) = 4x + 16.
Two less than three times the number is 3x - 2.
According to the problem, 4x + 16 = 2(3x - 2).
Simplifying the equation, we get 4x + 16 = 6x - 4.
Bringing the variables to one side, we have 6x - 4x = 16 + 4.
Simplifying, we get 2x = 20.
Dividing both sides by 2, we get x = 10.
Therefore, the solution to the problem is x = 10.