Intrabeam scattering (IBS) of a high-brightness electron beam in an x-ray freeelectron laser (FEL) driver is studied. Such a beam is much "colder" in the longitudinal direction than in transverse ones. As a result, the beam energy spread is increased with negligible change of transverse emittances. We estimate the IBS induced energy spread in the Linac Coherent Light Source and evaluate its effects on FEL and CSR microbunching instabilities.