The sum of a number and twice its reciprocal is 3 the phrase a number means an arbitrary variable, let's call it x. x The reciprocal of a number means we take 1 over that number: 1/x Twice the reciprocal means we multiply 1/x by 2: 2/x The sum of a number and twice its reciprocal x + 2/x The word is means equal to, so we set x + 2/x equal to 3 x + 2/x = 3