Question

Solve the absolute value equation $|5x+20|=80$

• A. 12 or 20
• B. -12 or -20
• C. 12 or -20
• D. -12 or 20

Answer 1

The correct option is C 12 or -20

$|5x+20|=80$
$5x+20=80$ $-(5x+20)=80$
$5x=60$ $-5x-20=80$
$-5x=100$
$\frac{5x}{5}=\frac{60}{5}$ $-\frac{5x}{-5}=\frac{100}{-5}$
$x=12$ $x=-20$
Correct answer is option C.