Is this a conditional Contradiction or Identity equation Sol

Is this a conditional, Contradiction or Identity equation

Solution

(x+6)/10 + (x -4)/15 = (x+2)/6

LHS : taking Least common multiple as 10*15 = 30

[ 3(x +6) + 2( x-4) ]/30 = (x+2)/6

( 5x +10)/30 = (x+2)/6

5(x+2)/30 = (x+2)/6

(x+2) = (x+2)

AN EQUATION THAT HAS ALL REAL NUMBERS AS ITS ANSWERS. At some step in the solving of the equation you will get the same IDENTICAL terms on both sides of the equation.

Above is an identity