The expression is .
According to subtraction property of equality: if , then
.
(Subtract
from each side)
(Additive inverse property:
)
Find the least common denominator(LCD)
\Multiples of 2: 2,4,6,8,10,12.....
\Multiples of 6: 6,12,18,24,30.....
\The least common multiple of 2 and 6 is 6
\Rewrite each fraction with a common denominator of 6
\According to division property of equality: if , then
.
(Divide each side by 6)
(Cancel comon terms)
(Zero product property:
)
According to addition property of equality: if a = b, then a + c = b + c.
\ (Add 4 from each side)
(Additive identity property:
)
(Additive invrese property:
)
According to division property of equality: if , then
.
(Divide each side by negative 2)
(Cancel common terms)
(Divide:
)
Check:
\To check the solution, substitute in original equation.
(Subtract:
)
(Cancel common terms)
The value of the expression is .