The equation is .
Distribute terms using distributive property: a(b + c) = ab + ac.
\ \ (Multiply:
)
(Add: 12 + 2 = 14)
Apply subtraction property of equality: Subtract 4.5 from each side.
\ (Apply Additive inverse property:
)
(Subtract:
)
Apply subtraction property of equality: Subtract 4k from each side.
\
Apply commutative property of addition: a + b = b + a.
\ (Apply Additive inverse property:
)
(Subtract:
)
Apply division property of equality: Divide each side by 0.5.
\
(Cancel common terms)
(Divide:
)
Check:
\To check the solution, substitute in original equation.
(Add: 19 + 3 = 22 and 19 + 1 = 20)
(Multiply:
)
(Add: 88 + 2 = 90)
The equation is true.
The solution is .