The equation is .
Apply subtraction property of equality: Subtract from each side.
Rearrange the terms using commutative property of addition: .
(Apply additive inverse property:
)
(Apply additive identity property:
)
Combine like terms using distributive property: ab - ac = a( b - c).
\ (Subtract:
)
(Subtract
from each side)
(Subtract:
)
(Subtract:
)
According to multiplication property of equality: Multiply each side by 10.
(Cancel common terms)
(Divide:
)
Verify:
To check the solution, substitute in original equation.
(Cancel common terms)
(Add:
)
(Add:
)
Compare the values, the equation is true.The value of t is
.
\