Solve the equation by formula Sunyam Samyasamuchchaye.

As per the formula of Sunyam Samaysamuchchaye, its sixth application is used –

If there are two terms in each side of an equation and each of the numerators of the terms are mutually equal and the sum of denominators on the left side is equal to the sum of denominators on the right side, then putting this sum equal to zero, the value of variable quantity is obtained.

So adding the denominators on LHS & RHS,

x + 2 + x + 6 x + 1 + x + 7

2x + 8 2x + 8

2x + 8 = 0

x = -4