[tex] \frac{2x-1}{2}- \frac{2}{3}[2x- \frac{5(x-1)}{4} ]+2+ \frac{4x}{2}= \frac{5}{2} \\
\frac{2x-1}{2}- \frac{4x}{3}+ \frac{5(x-1)}{6}+2+2x=\frac{5}{2} |*6\\
3(2x-1)-2*4x+5(x-1)+12+12x=5*3 \\ 6x-3-8x+5x-5+12+12x=15 \\
6x-8x+5x+12x=15+3+5-12 \\ 15x=11 \\ x= \frac{11}{15} [/tex]
