The problem reads:

"Thirteen is eight more than twice a number."

Let's break this down into an equation.

• Let the unknown number be $x$.
• "Twice a number" means $2x$.
• "Eight more than twice a number" means $2x + 8$.
• The entire statement says that thirteen equals this expression, so the equation becomes:

$13 = 2x + 8$

Solving for $x$:

1. Subtract 8 from both sides:

$13 - 8 = 2x$

$5 = 2x$

2. Divide both sides by 2:

$x = \frac{5}{2}$

$x = 2.5$

Thus, the number is 2.5.

Would you like a detailed explanation of any step? Here are some related questions for practice:

1. How would the equation change if the problem was "Thirteen is eight less than twice a number"?
2. What if the number was replaced by a variable $y$ instead of $x$?
3. How do you graph the equation $13 = 2x + 8$?
4. What would the equation look like if the problem said, "Thirteen is eight more than triple a number"?
5. How can you check your solution once you've solved for $x$?

Tip: When solving word problems, always translate the words into mathematical expressions step by step to avoid confusion!