Find the value of X x+3/x+2-x+4/x+3=x+5/x+6-x+4/x+5 For the value of X, please write the operation procedure

Find the value of X x+3/x+2-x+4/x+3=x+5/x+6-x+4/x+5 For the value of X, please write the operation procedure

The original formula can be changed into 1 + 1 / (x + 2) - 1-1 / (x + 3) = 1-1 / (x + 6) - 1 + 1 / (x + 5)
Simplify 1 / (x + 2) (x + 3) = 1 / (x + 5) (x + 6)
Cross multiply, open the bracket x ^ 2 + 5x + 6 = x ^ 2 + 11x + 30
So x = - 4, check it out