Tìm \(x \in \mathbb{Z},\) biết:

c) \(\frac{{ - 5}}{2} = \frac{{x + 2}}{8}.\)               

h) \(\frac{4}{{15}}x + \frac{2}{3} =  - \frac{1}{5}.\)

\(\frac{4}{{15}}x =  - \frac{1}{5} - \frac{2}{3}\)

\[\frac{4}{{15}}x =  - \frac{3}{{15}} - \frac{{10}}{{15}}\]

\[\frac{4}{{15}}x = \frac{{ - 13}}{{15}}\]

\[x = \frac{{ - 13}}{{15}}:\frac{4}{{15}}\]

\[x = \frac{{ - 13}}{{15}} \cdot \frac{{15}}{4}\]

\[x = \frac{{ - 13}}{4}.\]

i) \[2x - \frac{3}{5} = \frac{4}{7} \cdot \frac{{14}}{6}.\]

\[2x - \frac{3}{5} = \frac{{4 \cdot 14}}{{7 \cdot 6}}\]

\[2x - \frac{3}{5} = \frac{4}{3}\]

\[2x = \frac{3}{5} + \frac{4}{3}\]

\[2x = \frac{9}{{15}} + \frac{{20}}{{15}}\]

\[2x = \frac{{29}}{{15}}\]

\[x = \frac{{29}}{{30}}\]