The equation is
\ \
Subtraction property of equality: if
, then
.
(Subtract 3 from both sides)
(Subtract:
and
)
Write two cases:
\Case-1:
.
Case-2: 

Solve the equation for Case-1.
\
(Subtract 4 from both sides)
(Subtract:
and
)
Check:
\To check the solution, substitute
in original equation.

(Add:
)
(The absolute value of 14 is 14)
(Add:
)
Compare the values the equation is true.
is a solution.

Solve the equation for Case-2.
\
(Subtract 4 from both sides)
(Subtract:
. Add:
)

Check:
\To check the solution, substitute
in original equation.

(Subtract:
)
(The absolute value of
is 14)
(Add:
)
Compare the values the equation is true.
is a solution.

The solution set is 