The equation is .
According to addition property of equality: if a = b, then a + c = b + c.
\ \ (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.
\
According to addition property of equality: if a = b, then a + c = b + c.
\ (Add 3 to both sides)
(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.
\According to addition property of equality: if a = b, then a + c = b + c.
\ (Add 3 to both sides)
(Apply Additive inverse property:
)
(Add: -8 + 3 = -5)
Check:
\To check the solution, substitute in original equation.
(Add:
)
(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 .