The equation is
.
Subtract 35 from each side.
\

Rewrite the equation
.
Group terms with common factors.
\
Factor the G.C.F from each grouping.
\
Combine like terms using distributive property:
.

Apply zero product property: If ab = 0 then a = 0, b = 0.
\
First
.
Apply subtraction property of equality: If a = b then a
b = b
a. .
Subtract 5 from each side.
\
Apply additive inverse property:
.


Divide each side by 4.
\

Second
.
Apply addition property of equality: If a = b then a + b = b + a.
\Add 7 to each side.
\
Apply additive inverse property:
.


Divide each side by 3.
\

Check:
\To check the solution substitute
in
.






The first solution
is true.
To check the solution substitute
in
.







The second solution
is true.
The values of
. \ \