Answer
$x=1 \text{ or } x = -1$
Work Step by Step
Subtract 5 to both sides to have:
$\\\\|2x|=2$
$\\\\\\$RECALL:
$\\\\|a| = a \text{ if }a \ge 0
\\|a| =-a \text{ if }a \lt 0$
$\\\\\\$Use this definition of absolute value to have:
$\\\\2x=2 \text{ or } 2x = -2
\\\\x = \frac{2}{2} \text{ or } x = \frac{-2}{2}
\\\\x = 1 \text{ or } x = -1$
