We investigate the X-ray properties of PG 1004+130 , a radio-loud broad absorption line ( BAL ) quasar with a hybrid FR I/FR II radio morphology . This optically bright , low-redshift quasar was undetected by Einstein , marking it as anomalously X-ray weak relative to other radio-loud quasars . The 22.2 ks XMM-Newton and 41.6 ks Chandra observations presented here are the first X-ray detections of PG 1004+130 and constitute the highest spectral quality X-ray observations of a radio-loud BAL quasar available to date . The Chandra ACIS-S spectrum shows evidence for complex soft X-ray absorption not detected in the data obtained 1.7 yr previously with XMM-Newton , with a best-fit intrinsic column density of N _ { H } =1.2 \times 10 ^ { 22 } cm ^ { -2 } for the preferred partial-covering model . There is no significant difference in the hard-band power-law photon index of \Gamma \approx 1.5 between the two observations . The Chandra image also reveals extended X-ray emission \approx 8 ^ { \prime \prime } ( 30 kpc ) south-east of the nucleus , aligned with the FR I jet but upstream of the 1.4 GHz radio-brightness peak . The jet is not detected by HST , and the optical upper limit rules out a simple single-component synchrotron interpretation of the radio-to-X-ray emission . The multiwavelength characteristics of the PG 1004+130 jet , including its relatively flat X-ray power law and concave spectral energy distribution , are similar to those of powerful FR II jets . The lack of strong beaming in PG 1004+130 limits the efficiency of inverse Compton upscattering , and we consider the X-ray emission to most likely arise from a second synchrotron component generated by highly energetic electrons .