We present Chandra observations of seven broad absorption line ( BAL ) quasars at z = 0.863 –2.516 with redshifted BAL troughs ( RSBALs ) . Five of our seven targets were detected by Chandra in 4–13 ks exposures with ACIS-S . The \alpha _ { ox } values , \Delta \alpha _ { ox } values , and spectral energy distributions of our targets demonstrate they are all X-ray weak relative to expectations for non-BAL quasars , and the degree of X-ray weakness is consistent with that of appropriately-matched BAL quasars generally . Furthermore , our five detected targets show evidence for hard X-ray spectral shapes with a stacked effective power-law photon index of \Gamma _ { eff } = 0.5 ^ { +0.5 } _ { -0.4 } . These findings support the presence of heavy X-ray absorption ( N _ { H } \approx 2 \times 10 ^ { 23 } cm ^ { -2 } ) in RSBAL quasars , likely by the shielding gas found to be common in BAL quasars more generally . We use these X-ray measurements to assess models for the nature of RSBAL quasars , finding that a rotationally-dominated outflow model is favored while an infall model also remains plausible with some stipulations . The X-ray data disfavor a binary quasar model for RSBAL quasars in general .