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

Case-2: 

Solve the equation for Case-1.
\
Apply subtraction property of equality: Subtract 1 from each side.
\

Divide each side by 2.
\


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



The absolute value of
is 9.

Compare the values the equation is true.
is a solution.
Solve the equation for Case-2.
\
Apply subtraction property of equality: Subtract 4 from each side.
\

Divide each side by 2. \ \
\\



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


\

(The absolute value of
is 9)
Compare the values the equation is true.
is a solution.
The solution set is
.