
The equation is
.
Write two cases:
\Case-1: a = b
\
Case-2: a =
b

Solve the equation for Case-2.
\According to subtraction property of equality: if
, then
.
(Subtract 5 from each side)
(Apply Additive inverse property:
)
(Subtract:
)
(Divide each side by 3)
(Cancel common terms)
(Divide:
)
Check:
\To check the solution, substitute
in original equation.

(Multiply:
)
(Add: 6 + 5 = 11)
11 = 11 (Absolute value: |11| = 11)
\Compare the values the equation is true.
is a solution.
Solve the equation for Case-2.
\According to subtraction property of equality: if
, then
.
(Subtract 5 from each side)
(Apply Additive inverse property:
)
(Subtract:
)
(Divide each side by 3)
(Cancel common terms)
\
Check:
\To check the solution, substitute
in original equation.

(Cancel common terms)
(Add:
)
11 = 11 (Absolute value: |
11| = 11)
Compare the values the equation is true.
is a solution.
The solutions are 2 and
. The solution set is
.