Process for the production of para-xylene from a feedstock containing xylenes, ethylbenzene and C9+ hydrocarbons, comprising: - a single stage A of separation in a simulated moving bed of said feedstock employed with a zeolite as adsorbent and a desorbent, at a temperature of between 20 et 250°C, under a pressure of between 1.0 and 2.2 MPa, and with a ratio by volume of the desorbent to the feedstock in the simulated moving bed separation unit of between 0.4 and 2.5; said stage A making it possible to obtain: ▪ a first fraction containing a mixture of para-xylene and of desorbent, and ▪ at least one second fraction (A2 or A21) containing ethylbenzene, ortho-xylene and meta-xylene and desorbent, - a stage B of fractionation by distillation in at least one first distillation column (B-C3) of said second fraction resulting from stage A, making it possible to obtain 3 fractions: ▪ a first fraction containing EB, OX and MX, ▪ a second fraction containing OX and MX, and ▪ a third fraction containing desorbent, in which: the separation stage A makes it possible to obtain a third fraction A22 depleted in EB containing a mixture of MX, OX and desorbent, said fractions A21 and A22 being sent into said fractionation stage B, the third fraction resulting from stage A is introduced into a second distillation column (B-C4), making it possible to obtain a fraction devoid of desorbent containing MX and OX, and a fraction B43 consisting of desorbent, the second fraction is introduced at the fractionation stage B into a second distillation column (B-C4), making it possible to obtain a fraction devoid of desorbent containing MX and OX, and a fraction B43 consisting of desorbent, the third fraction resulting from stage A is introduced into the second distillation column (B-C4) below the point of sidestream injection of the second fraction resulting from the first distillation column (B-C3). - a single stage A of separation in a simulated moving bed of said feedstock employed with a zeolite as adsorbent and a desorbent, at a temperature of between 20 et 250°C, under a pressure of between 1.0 and 2.2 MPa, and with a ratio by volume of the desorbent to the feedstock in the simulated moving bed separation unit of between 0.4 and 2.5; said stage A making it possible to obtain: ▪ a first fraction containing a mixture of para-xylene and of desorbent, and ▪ at least one second fraction (A2 or A21) containing ethylbenzene, ortho-xylene and meta-xylene and desorbent, ▪ a first fraction containing a mixture of para-xylene and of desorbent, and ▪ at least one second fraction (A2 or A21) containing ethylbenzene, ortho-xylene and meta-xylene and desorbent, - a stage B of fractionation by distillation in at least one first distillation column (B-C3) of said second fraction resulting from stage A, making it possible to obtain 3 fractions: ▪ a first fraction containing EB, OX and MX, ▪ a second fraction containing OX and MX, and ▪ a third fraction containing desorbent, ▪ a first fraction containing EB, OX and MX, ▪ a second fraction containing OX and MX, and ▪ a third fraction containing desorbent, the separation stage A makes it possible to obtain a third fraction A22 depleted in EB containing a mixture of MX, OX and desorbent, said fractions A21 and A22 being sent into said fractionation stage B, the third fraction resulting from stage A is introduced into a second distillation column (B-C4), making it possible to obtain a fraction devoid of desorbent containing MX and OX, and a fraction B43 consisting of desorbent, the second fraction is introduced at the fractionation stage B into a second distillation column (B-C4), making it possible to obtain a fraction devoid of desorbent containing MX and OX, and a fraction B43 consisting of desorbent, the third fraction resulting from stage A is introduced into the second distillation column (B-C4) below the point of sidestream injection of the second fraction resulting from the first distillation column (B-C3).