5) \( \frac{x+5}{7}=\frac{5}{3} \)

To solve the equation \( \frac{x+5}{7}=\frac{5}{3} \), start by cross-multiplying to eliminate the fractions. This gives you \( 3(x + 5) = 35 \). Distributing the 3 results in \( 3x + 15 = 35 \). Next, subtract 15 from both sides to isolate the term with \( x \): \( 3x = 20 \). Finally, divide both sides by 3 to find \( x = \frac{20}{3} \). In a fun twist, think of cross-multiplying as a mathematical dance—sometimes you just have to switch partners to get the right balance! And remember, like cooking, following steps closely is crucial; a dash of miscalculation could lead you astray!