

Let
represent the number.
The word “less” represents subtraction and the symbol is "
".
Two-thirds of a number indicates
.
The word “is” indicates the symbol “
”.
Let
= number.
Rewrite the sentence into equation,
\
The equation is
.
According to subtraction property of equality: Subtract 13 from each side.
\
(Apply commutative property of addition:
)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
According to division property of equality: Divide each side by 4.
\
(Cancel common terms)
(Divide:
)
Check:
\To check the solution, substitute
in original equation.

(Multiply:
)
(Add:
)
Compare the values, the equation is true.
The value of
.