#### Answer

$-7/3$ and $9$

#### Work Step by Step

Getting rid of the absolute value sign,
$$2x-1-x-5=3$$
OR
$$2x-1+x+5=3$$
OR
$$1-2x+x+5=3$$
OR
$$1-2x-x-5=3$$
This is because the absolute value of $x$ can either equal $x$ or $-x$
Solving the first equation gives $x=9$
Solving the 2nd gives $3x+4=3$ or $x=-1/3$
Solving the 3rd gives $-x=-3$ or $x=3$
Solving the 4th gives $-3x = 7$ or $x=-7/3$
Back solving shows us that only $-7/3$ and $9$ work as x values.