Answer:
[tex] \boxed{x = - \frac{1}{6}} [/tex]
Step-by-step explanation:
[tex] = > \frac{1}{2} x + \frac{3}{4} = \frac{2}{3} \\ \\ = > \frac{1}{2} x = \frac{2}{3} - \frac{3}{4} \\ \\ = > \frac{1}{2} x = ( \frac{2}{3} \times \frac{4}{4} ) - (\frac{3}{4} \times \frac{3}{3} ) \\ \\ = > \frac{1}{2} x = \frac{8}{12} - \frac{9}{12} \\ \\ = > \frac{1}{2} x = \frac{8 - 9}{12} \\ \\ = > \frac{1}{2} x = - \frac{1}{12} \\ \\ = > x = 2 \times ( - \frac{1}{12} ) \\ \\ = > x = - \frac{1}{6} [/tex]