The equation is .
Apply division property of equality: Divide each side by 8.
\ (Cancel common terms)
(Divide:
)
Write two cases:
\Case-1: a = b
\
Case-2:
Solve the equation for Case-1.
\Apply addition property of equality: Add 3 to each side.
\ (Apply Additive inverse property:
)
(Apply Additive identity property:
)
(Add:
)
(Divide each side by 4)
(Cancel common terms)
Check:
\To check the solution, substitute in original equation.
(Cancel common terms)
(Subtract:
)
(Absolute value
)
(Multiply:
)
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:
)
(Apply Additive identity property:
)
(Add:
)
(Divide each side by 4)
(Cancel common terms)
Check:
\To check the solution, substitute in original equation.
(Cancel common terms)
(Subtract:
)
(Absolute value:
)
(Multiply:
)
Compare the values the equation is true. is a solution.
The solution set is .