IP1 Class Test (May 2025) Q11

Solve the following equations.

1. \(\frac{4(-2x+3)}{9}-3=-\frac{(-7)(x+6)}{12}-\frac{13}{6}\)[2]
2. \(\frac{\frac{4}{3}\left(9x+\frac{2}{5}\right)}{8}=-\frac{\left(-\frac{3}{4}\right)\left(\frac{1}{2}x-3\right)}{\frac{3}{2}}\)[2]
3. \(\frac{1}{5-2x}+\frac{3}{2x+5}=\frac{1}{4x^2-25}\)[2]
4. \(\frac{1}{(3x-8)}+\frac{2}{(3x-8)^2}=\frac{1}{9x^2-48x+64}\)[2]