Giúp mình câu này với mọi người ơi

`e)`

`-2 | 1/2x - 1/3 | + 3/2 = 1/4`

$\Leftrightarrow$ `-2 | 1/2x - 1/3 | = 1/4 - 3/2`

$\Leftrightarrow$ `-2 | 1/2x - 1/3 | =` $\dfrac{1-6}{4}$

$\Leftrightarrow$ `-2 | 1/2x - 1/3 | =` $\dfrac{-5}{4}$

$\Leftrightarrow$ `| 1/2x - 1/3 | =` $\dfrac{-5}{4}$ `.` $\dfrac{1}{-2}$

$\Leftrightarrow$ `|1/2 x - 1/3 | = 5/4 . 1/2`

$\Leftrightarrow$ `|` $\dfrac{x.3-2}{6}$ `| = 5/4 . 1/2`

$\Leftrightarrow$ `|` $\dfrac{3x-2}{6}$ `| = 5/4 . 1/2`

$\Leftrightarrow$ `|` $\dfrac{3x-2}{6}$ `| = 5/4.2`

$\Leftrightarrow$ `|` $\dfrac{3x-2}{6}$ `| = 5/8`

$\Leftrightarrow$ $\left[\begin{matrix} \dfrac{3x-2}{6} = 5/8\\ \dfrac{3x-2}{6} = - 5/8\end{matrix}\right.$

$\Leftrightarrow$ $\left[\begin{matrix} x=23/12\\ x=-7/12\end{matrix}\right.$

Vậy `x` $\in$ `{ 23/12; -7/12}.`

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`f)`

`1/2 x + 4/5 = 14/24x - 3/2`

$\Leftrightarrow$ `1/2 x + 4/5 = 7/12 x - 3/2`

$\Leftrightarrow$ `60/2 x +` $\dfrac{4.60}{12}$ `=` $\dfrac{7.60}{12}$ `.x-` $\dfrac{3.60}{2}$

$\Leftrightarrow$ `30,+48=35x-90`

$\Leftrightarrow$ `30x-35x=-90-48`

$\Leftrightarrow$ `-5x=-138`

$\Leftrightarrow$ `x=-138/-5`

$\Leftrightarrow$ `x=138/5.`

Vậy `x={138/5}.`