
The equation is
Write two cases:
\Case-1:
.
Case-2: 

Solve the equation for Case-1.
\Addition property of equality: if
, then
.
(Add 9 to both sides)
(Apply Additive inverse property:
)
(Apply Additive identity property:
)
(Add:
)
Check:
\To check the solution, substitute
in original equation.
(Substitute
)
(Subtract:
)
The absolute value of 20 is 20.
\ 
Compare the values the equation is true.
is a solution.
Solve the equation for Case-2.
\
Addition property of equality: if
, then
.
(Add 9 to both sides)
(Apply Additive inverse property:
)
(Apply Additive identity property:
)
(Add:
)
Check:
\To check the solution, substitute
in original equation.

(Add:
)
(The absolute value of
is 20)
Compare the values the equation is true.
is a solution.
The solutions are
. The solution set is
.