\( \frac { u } { 10 } - \frac { 2 } { 10 } = \frac { } { 10 } \)

To solve this equation, let's simplify it first. The left side can be combined into one fraction: \[ \frac{u - 2}{10} = \frac{x}{10} \] Since both sides share the same denominator, we can eliminate it by multiplying through by 10: \[ u - 2 = x \] Now, if you're looking for \( u \) in terms of \( x \), simply add 2 to both sides: \[ u = x + 2 \] This shows that \( u \) is just 2 more than whatever \( x \) is. In practical terms, equations like this are used in real-world scenarios such as budgeting or adjusting quantities. If you have a budget (u) and know you've spent $2 (the fraction in the equation), you can easily determine how much you can now allocate (x). It's a simple yet powerful concept in financial planning! Ever found yourself skipping steps in algebra? It’s a common mistake to forget to manage the signs when isolating variables. Always double-check each step for any sign changes or common fractions, as these minor hurdles can derail your final answer. Keeping your work organized will save you those pesky re-checks later on!