The equation is .
According to subtraction property of equality: if , then
.
(Subtract 7 from each side)
(Additive inverse property:
)
(Add: 16
7 = 9)
(Add each side by
)
(Additive inverse property:
)
To add fractions the denominators must be equal.
\Find the least common denominator (LCD).
\Multiples of 2: 2,4,6,8,10,12,14,..............
\Multiples of 5: 5,10,15,20,25,..................
\The least common multiple of 2 and 5 is10.
\
(Add:
)
According to Multiplication property of equality: if , then
.
(Multiply
by each side)
(Cancel common terms)
(Multiply:
)
(Divide:
)
Check:
\To check the solution, substitute in original equation.
(Multiply:
)
(Add:
)
11.9 = 11.9 (Subtract: )
The solution is .