EXERCISE 2 If the equation has a restriction, 1. \( \frac{3 x}{2}-\frac{x}{4}=1 \frac{1}{4} \) 3. \( \frac{3}{5}-\frac{7}{x}=\frac{7}{4}-\frac{5}{4 x} \) 5. \( \frac{1-x}{2}+\frac{2-x}{3}+1 \frac{1}{3}=0 \) 7. \( \frac{x-1}{2 x}-\frac{1}{2}=\frac{2 x-5}{3 x^{2}} \) qualities

To tackle these equations effectively, it's crucial to understand the concept of restrictions. Restrictions come into play when you have variables in the denominator, which can't equal zero. For example, in the second equation, \( x \) cannot equal 0 or 4/5, since that would make the fractions undefined. Always identify these before solving to avoid those pesky undefined values! Now, solving these equations is often about finding a common denominator and simplifying step-by-step. A common mistake is forgetting to apply operations to all parts of the equation, especially when adding or subtracting fractions. Remember to always check your final solutions against any restrictions you identified to ensure they're valid. Happy solving!