Question

$\frac{1}{5}-4x=9$

Explanation:

Step1: Eliminate absolute value

$-(7-4x)=9$ or $7-4x=9$

Step2: Solve first equation

$-7+4x=9$
$4x=9+7$
$4x=16$
$x=\frac{16}{4}=4$

Step3: Solve second equation

$-4x=9-7$
$-4x=2$
$x=\frac{2}{-4}=-\frac{1}{2}$

Answer:

$x=4$ or $x=-\frac{1}{2}$