[tex]\frac{3}{2}(x^{(2}+ \frac{1}{2}) + \frac{1}{3}= \frac{5}{6} \\ \\ \frac{3}{2} * \frac{2x+1}{2} + \frac{1}{3} = \frac{5}{6} \\ \\ \frac{6x+3}{4}^{(3}+ \frac{1}{3}^{(4} = \frac{5}{6} ^{(2} = 18x +9 +4 =10 \\ 18x +13=10 \\ 18x=10-13 \\ 18x=- 3 \\\\ \boxed{ x= -\frac{1}{6} }[/tex]
