The equation is .
Apply multiplication property of equality: If a = b then .
(Multiply each side by 8)
(Cancel common terms)
(Divide:
)
Distribute terms using distributive property: .
(Multiply:
)
Apply addition property of equality: If a = b then a + c = b + c.
\ (Add 2 to each side)
(Apply additive inverse property:
)
(Add: 10 + 2 = 12)
Apply subtraction property of equality: If a = b then a c = b
c.
(Subtract 2d from each side)
(Apply additive inverse property:
)
(Subtract:
)
Check:
\To check the solution, substitute in
.
(Multiply:
)
(Subtract:
)
(Add: 12 + 5 = 7)
(Multiply:
)
(Divide:
)
The equality is true.
\The value of .