Answer:
x = -52/9.
Explanation:
The problem states that nine times the sum of a number and 6 is 2. Let's represent the unknown number with the variable "x."
The sum of the number and 6 can be written as (x + 6).
The problem states that nine times this sum is equal to 2, so we can write the equation as:
9(x + 6) = 2.
To solve this equation, we can start by distributing the 9 to both terms inside the parentheses:
9x + 54 = 2.
Next, let's isolate the variable by subtracting 54 from both sides of the equation:
9x = 2 - 54.
Simplifying further, we get:
9x = -52.
Finally, we can solve for x by dividing both sides of the equation by 9:
x = -52/9.
Therefore, the solution to the problem is x = -52/9.