The equation is  \ \

According to addition property of equality; if a=b,  thena+c=b+c. 

   (Add to each side).

                   (Additive inverse property: )

                  (Commutative property:a+b=b+a) \ \

                (Distributive property:ab+bc=a(b+c))

Find the least common denominator (LCD).

Multiples of 4: 4,8,12,16,........

Multiples of 8: 8,16,24,32,.....

The least common multiple of 4 and 8 is 8.

Rewrite each fraction with a common denominator of 8.

          (LCM is 8)

                  (Additive identity property:2+0=2) \ \

                             (Multiply: )

                                    (Add:6+1=7)

                (Subtract 16 from each side)

                           (Additive inverse property:16-16=0 )

                            (Subtract:2-16=-14)

                           (Additive identity property:a+0=a) \ \                                               (Multiply each side by 8)

                                 (Cancel by the common terms)

                                    (Multiply:) \ \

                              (Divide each side by 7)

                                 (Cancel by the common terms)

                                        (Divide: )

Verify the solution:

To check the solution, substitute in original equation.           

            (Multiply: )

                   (Divide: )

                                        (Add: )

Compare the values, the equation is true.

The value of .