Solve a greatest integer function equation with operations Algebra I

\dfrac {19} {3} \lt x \leq \dfrac {25} {3}

\dfrac {13} {4} \leq x \leq \dfrac {33} {4}

\dfrac{23}{7} \leq x \lt \dfrac{30}{7}

\dfrac {23} {5} \lt x \lt \dfrac {31} {5}

\dfrac{22}{3} \leq x \lt \dfrac{34}{3}

\dfrac{17}{3} \leq x \lt \dfrac{29}{3}

\dfrac{11}{3} \leq x \lt \dfrac{25}{3}

\dfrac{20}{3} \leq x \lt \dfrac{23}{3}

\dfrac{56}{5} \leq x \lt \dfrac{61}{5}

\dfrac{55}{5} \leq x \lt \dfrac{71}{5}

\dfrac{56}{5} \leq x \leq \dfrac{61}{5}

\dfrac{55}{5} \leq x \leq\dfrac{71}{5}

\dfrac{9}{25} \leq x \lt \dfrac{23}{29}

\dfrac{11}{27} \leq x \lt \dfrac{20}{27}

\dfrac{2}{29} \leq x \lt \dfrac{18}{29}

\dfrac{5}{12} \leq x \lt \dfrac{11}{12}

\dfrac{13}{34} \leq x \lt \dfrac{19}{34}

\dfrac{23}{35} \leq x \lt \dfrac{30}{35}

\dfrac{2}{3} \leq x \lt \dfrac{13}{3}

\dfrac{5}{37} \leq x \lt \dfrac{30}{37}

\dfrac{-5}{9} \leq x \lt \dfrac{-2}{9}

\dfrac{-7}{19} \leq x \lt \dfrac{-3}{19}

\dfrac{-5}{11} \leq x \lt \dfrac{-3}{11}

\dfrac{-5}{14} \leq x \lt \dfrac{-3}{14}

\dfrac{-4}{17} \leq x \lt \dfrac{3}{17}

\dfrac{-4}{7} \leq x \lt \dfrac{3}{7}

\dfrac{-44}{7} \leq x \lt \dfrac{-37}{7}

\dfrac{-2}{5} \leq x \lt \dfrac{1}{5}