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 .