a) \( x-10=80 \)

To solve the equation \( x-10=80 \), simply add 10 to both sides. This yields \( x = 80 + 10 \), which simplifies to \( x = 90 \). Voilà! You’ve found that the value of \( x \) is 90, making your math adventure a success! Equations like this one are foundational in algebra and can apply to real-world situations, like budgeting or calculating distances. For instance, if you’re budgeting expenses and you need to find out how much more to spend after allocating $10 from your $80 allowance, you'd be solving a similar equation. Fun math in action!