Question

Solve the absolute value equation $4|2x-1|-2=10$

• A. $-2or-1$
• B. $-2or1$
• C. $2or-1$
• D. $2or1$

Answer 1

The correct option is C $2or-1$

$4|2x-1|-2=10$
First we will isolate the absolute value part.
$4|2x-1|-2=10$
$4|2x-1|=12$
$|2x-1|=3$
Now,
$(2x-1)=3$ $-(2x-1)=3$
$2x=4$ $-2x+1=3$
$x=2$ $-2x=2$
$x=-1$
Correct answer is option C.