ANSWER
[tex]x = 5 \: or \: x = - 5[/tex]
EXPLANATION
The given absolute value equation is
[tex] | - 5x| - 5 = 20[/tex]
We add 5 to both sides of the equation to get:
[tex] | - 5x| - 5 + 5 = 20 + 5[/tex]
[tex] | - 5x| = 25[/tex]
This implies that,
[tex] - 5x = - 25 \: or \: - 5x = 25[/tex]
Divide both sides by -5,
[tex]x = 5 \: or \: x = - 5[/tex]
