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? _

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let's represent the unknown number as "x".

Thus, according to the given information, we can write the equation as:
4(x + 4) = 2(3x - 2)
Now, let's simplify and solve for "x":
4x + 16 = 6x - 4
16 + 4 = 6x - 4x
20 = 2x
x = 10
Therefore, the solution to this problem is x = 10.

Answer 2

[AI-generated answer — Step-by-Step Bot]

Let's break down the problem and solve it step-by-step:

1. Let's assume the number as 'x'.

2. The sum of a number and four is: x + 4.

3. Four times the sum of a number and four is: 4 * (x + 4) = 4x + 16.

4. Three times the number is: 3 * x = 3x.

5. Two less than three times the number is: 3x - 2.

6. Two multiplied by two less than three times the number is: 2 * (3x - 2) = 6x - 4.

7. Now, we have the equation: 4x + 16 = 6x - 4.

8. Let's solve the equation for 'x':

Subtract 4x from both sides:
16 = 2x - 4.

Add 4 to both sides:
20 = 2x.

Divide both sides by 2:
x = 10.

So, the solution to the problem is x = 10.