Tìm x , biết: n) ( 2x + − 3/ 4 ) : 2/ 5 = − 10/12 .
Giải thích
n) \(\left( {2x + \frac{{ - 3}}{4}} \right):\frac{2}{5} = \frac{{ - 10}}{{12}}\)
\[2x + \frac{{ - 3}}{4} = \frac{{ - 10}}{{12}} \cdot \frac{2}{5}\]
\[2x + \frac{{ - 3}}{4} = \frac{{ - 1}}{3}\]
\[2x = \frac{{ - 1}}{3} - \frac{{ - 3}}{4}\]
\[2x = \frac{{ - 1}}{3} + \frac{3}{4}\]
\[2x = \frac{{ - 4}}{{12}} + \frac{9}{{12}}\]
\[2x = \frac{5}{{12}}\]
\[x = \frac{5}{{12}}:2\]
\[x = \frac{5}{{24}}.\]
Vậy \[x = \frac{5}{{24}}.\]