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

Solve the equation for Case-1.
\
Addition property of equality: if
, then
.
(Add 8 on both sides)
(Apply Additive inverse property:
)
(Apply Additive identity property:
)
(Add:
)
\
(Divide both sides by 5)
(Cancel common factors)
(Divide:
)
\
Check:
\To check the solution, substitute
in original equation.

(Multiply:
)
(Subtract:
)
(The absolute value of 12 is 12)
Compare the values the equation is true.
is a solution.
Solve the equation for Case-2.
\
(Add 8 on both sides)
(Apply Additive inverse property:
)
(Apply Additive identity property:
)
(Add:
)
(Divide both sides by 5)
(Cancel Common Terms)
Check:
\To check the solution, substitute
in original equation.

(Cancel common terms)
(Subtract:
)

The solution set is
.