Translate the first part of the sentence into an algebraic expression.

"When a certain number is increased by 5" can be written as $x + 5$.

"the number increased by 10" can be written as $x + 10$.
"6 times the number increased by 10" can be written as $6(x + 10)$.

The phrase "the result is" means that the first expression is equal to the second expression.

First, distribute the 6 on the right side of the equation:

Next, subtract $x$ from both sides of the equation:

Now, subtract 60 from both sides of the equation:

Finally, divide both sides by 5 to find the value of $x$:

The certain number is -11.

The final answer is $-11$.