The equation is .
Apply addition property of equality: Add 14 to each side.
\ \ (Apply Additive inverse property: -14 + 14 = 0)
(Add: -6 + 14 = 8)
Write two cases:
\Case-1: a = b
\Case-2: a = b
Solve the equation for Case-1.
\
Apply addition property of equality: Add 3 to each side.
\ (Apply Additive inverse property:
)
(Add: 8 + 3 = 11)
Check:
\To check the solution, substitute in original equation.
(Subtract:
)
(Absolute value of 8 is 8)
(Subtract:
)
Compare the values the equation is true. is a solution.
Solve the equation for Case-2.
\Apply addition property of equality: Add 3 to each side.
\ (Apply Additive inverse property:
)
(Add:
8 + 3 =
5)
Check:
\To check the solution, substitute in original equation.
(Subtract:
)
(Absolute value of |
8| is 8)
(Subtract:
)
Compare the values the equation is true. is a solution.
The solutions are 11 and -5.
\The solution set is .