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 .