The equation is .
Apply division property of equality: Divide each side by 3.
\ (Cancel common terms)
(Divide:
)
Write two cases:
\Case-1:
Case-2:
Solve the equation for Case-1.
\Apply subtraction property of equality: Subtract 6 from each side.
\
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
Check:
\To check the solution, substitute in original equation.
(Add:
)
(The absolute value of 12 is 12)
36 = 36 (Multiply: )
Compare the values the equation is true.
\Solve the equation for Case-2.
\Apply subtraction property of equality: Subtract 6 from each side.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
Check:
\To check the solution, substitute in original equation.
(Add:
)
(The absolute value of
is 12)
Compare the values the equation is true.
The solution set is x .