

The equation is
.
Apply addition property of equality: Add 5m to each side.
\
Rearrange the terms using commutative property of addition: a + b = b + a.
\
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Add:
)
Apply subtraction property of equality: Subtract 38 from each side.
\
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
According to division property of equality:
then
.
(Divide each side by 12)
(Cancel common terms)
(Divide:
)
Check:
\To check the solution, substitute
in original equation.

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