Answer: x = -51/4 or -12 3/4
Step-by-step explanation:
[tex]\begin{array}{l}\frac{2}{5}\left(\frac{x-1}{2}\right)=-2\frac{3}{4}\\\\\frac{2}{5}\left(\frac{x-1}{2}\right)=-\frac{11}{4}\\\\5\cdot\frac{2}{5}\cdot\frac{x-1}{2}=5\left(-\frac{11}{4}\right)\\\\x-1=-\frac{55}{4}\\\\x-1+1=-\frac{55}{4}+1\\\\x=-\frac{51}{4}\ or\ -12\ \frac{3}{4}\end{array}[/tex]