Solving the equation x + 2 of X + 3 plus x + 3 of X + 4 = x + 4 of X + 5 plus x + 1 of X + 2

Solving the equation x + 2 of X + 3 plus x + 3 of X + 4 = x + 4 of X + 5 plus x + 1 of X + 2

1 + 1 / (x + 2) + 1 + 1 / (x + 3) = 1 + 1 / (x + 4) + 1 + 1 / (x + 1) 1 / (x + 2) + 1 / (x + 3) = 1 / (x + 4) + 1 / (x + 1) 1 / (x + 3) - 1 / (x + 4) = 1 / (x + 1) - 1 / (x + 2) 1 / (x + 3) (x + 4) = 1 / (x + 1) (x + 2) (x + 1) (x + 2) = (x + 3) (x + 4) x & # 178; + 7x + 12x = - 5 / 2 test: x = - 5 / 2 is the equation