The equation is
According to addition property of equality; if a = b, then a + c = b + c.
\ (Add
to each side)
(Additive inverse property:
)
(Distributive property: a(b + c) = ab + ac)
(LCM is 3)
(Multiply:
)
(Add:
)
(Additive identity property: a + 0 = a)
According to subtraction property of equality: if , then
.
(Subtract
from each side)
(Commutative property: a + b = b + a)
(Additive inverse property:
)
(LCM is 4)
(Multiply:
)
(Subtract:
)
(Divide:
)
(Additive identity property: a + 0 = a) \ \
According to Multiplication property of equality: if , then
.
(Multiply each side by negative 3)
(Cancel by the common terms)
(Multiply:
)
Verify the solution:
\To check the solution, substitute in original equation.
(Cancel by common terms)
(LCM is 4)
(Multiply:
)
(Add: 1 + 4 = 5 and 3 + 2 = 5)
Compare the values, the equation is true.
The value of .