VIII. \( 9 x-5=50 \)

To solve the equation \( 9x - 5 = 50 \), first, you add 5 to both sides, giving you \( 9x = 55 \). Then, divide both sides by 9, resulting in \( x = \frac{55}{9} \) or approximately \( 6.11 \). This equation represents a straightforward linear relationship, and knowing how to solve it is crucial for tackling more complex algebraic problems! Equations like this one are not just about math; they find applications in real-world scenarios! For instance, if you were budgeting for a project and needed to calculate how many items at $9 each you could buy after spending $5, you would set up a similar equation. Solving for variables helps in making informed decisions both financially and in project management.