Explanation:
Let's solve the equation step by step:
Let the number be represented by "x".
Four times the number and 2 can be written as 4x + 2.
11 more than the number can be written as x + 11.
According to the given equation, 4x + 2 = x + 11.
To find the value of x, we can solve this equation:
4x + 2 = x + 11
Subtracting x from both sides:
3x + 2 = 11
Subtracting 2 from both sides:
3x = 9
Dividing both sides by 3:
x = 3
So, the number is 3.