

The equation is
.
Distribute terms using distributive property: a( b + c) = ab + ac.
\
(Multiply:
)
Apply to subtraction property of equality: Subtract 2.3w from each side.
\
Rearrange the terms using commutative property of addition:
.

(Subtract:
)
Apply to subtraction property of equality: Subtract 9.2 from each side.
\
(Subtract:
)
According to addition property of equality: Add 6 to each side.
\
(Add:
)
According to division property of equality:
then
.
(Divide each side by 1.5)
(Cancel common terms)
Verify:
\To check the solution, substitute
in original equation.

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