Clanque

To solve the equation , start by eliminating the fractions. Multiply through by 15, the least common multiple of 5 and 3, which gives:

This simplifies to:

Expanding and combining like terms will lead you to the solution.

In real-world scenarios, such algebraic equations can help in areas like budgeting or engineering, where balancing costs is essential. Understanding how to manipulate these equations can lead to clearer financial planning or more effective structural designs!

A common mistake in such problems is neglecting to distribute correctly or handling the fractions improperly. Always double-check your steps, especially when multiplying through to eliminate fractions! A little oversight can lead to a very different final answer!