To solve an absolute value equation, first write two equations.
\Equation 1:
Equation 2:
Solve equation 1.
\Apply addition property of equality: Add 5 to each side.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
(Add:
)
Apply division property of equality: Divide each side by 2.
\ (Cancel common terms)
(Divide:
)
Solve equation 2.
\Apply addition property of equality: Add 5 to each side.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
(Add:
)
Apply division property of equality: Divide each side by 2.
\ (Cancel common terms)
(Divide:
)
The solution set is .