[tex]\displaystyle\bf\\5\frac{2}{3}x-12=-2,5\\\\\frac{5\cdot3+2}{3}x-12=-2,5\\\\\frac{17}{3}x=-2,5+12\\\\\frac{17}{3}x=9,5\\\\\frac{17}{3}x=9,5\frac{95}{10}\\\\\frac{17}{3}x=\frac{95}{10}\\\\\frac{17}{3}x=\frac{19}{2}\\\\x=\frac{19}{2}:\frac{17}{3}\\\\x=\frac{19}{2}\cdot\frac{3}{17}\\\\x=\frac{19\cdot3}{2\cdot17}\\\\\boxed{\bf x=\frac{57}{34}}[/tex]
