The equation is .
(Distribute 4)
(Multiply:
)
(Distribute 5)
(Multiply:
)
Apply subtraction property of equality: Subtract 32 from each side.
\ (Apply additive inverse property:
)
(Apply additive identity property: 8c + 0 = 8c)
(Subtract:
)
Apply subtraction property of equality: Subtract 5c from each side.
\ (Apply commutative property of addition: a + b = b + a)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
Apply division property of equality: If a = b then .
(Divide each side by 3)
(Cancel common terms)
(Divide:
)
Check:
\To substitute in
.
(Substitute
)
(Multiply:
)
(Apply additive inverse property:
)
(Zero product property:
)
The equality is true.
The solution is .