Attosecond transient absorption is an ultrafast technique that has opened the possibility to study electron dynamics in condensed matter systems at its natural timescale. The extension to the x-ray regime permits one to use this powerful technique in combination with the characteristic element specificity of x-ray spectroscopy. At these timescales, the coherent effects of the electron transport are essential and have a relevant signature on the absorption spectrum. Typically, the complex lightdriven dynamics requires a theoretical modeling for shedding light on the time-dependent changes in the spectrum. Here we construct a semiconductor Bloch equation model for resolving the lightinduced and core-electron dynamics simultaneously, which enables to easily disentangle the interband and intraband contributions. By using the Bloch model, we demonstrate a universal feature on attosecond x-ray transient absorption spectra that emerges from the light-induced coherent intraband dynamics. This feature is linked to previous studies of light-induced Fano resonances in atomic systems.relied on time-dependent density functional theory approaches [13], which has provided good results in comparison with experiments [5,8]. However, the disentanglement of intraband and interband dynamics is not straightforward and adds an extra difficulty in the interpretation of the numerical results.On the other hand, semiconductor Bloch equations (SBE) [14-17] have been successfully applied to describe the nonlinear response of semiconductors and two-dimensional materials under the interaction of intense IR and mid-IR laser pulses [18][19][20][21][22][23], and also to model ultrafast studies [6]. This many-body theory offers clear advantages for understanding and interpreting the induced complex dynamics, such as separating the intraband and interband contribution as well as reducing the numerical effort. There is still an ongoing debate about the underlying mechanisms of high-harmonic generation in solids and their intrinsic interband and intraband nature [24][25][26][27]. In this context, theoretical approaches that allow to disentangle both contributions are desirable.In this work we present an extension of the standard SBE theory to the x-ray regime, named core-stateresolved Bloch equations (cBE), by including core-hole states. Using cBE, the induced dynamics driven by the IR pump and the x-ray probe pulse can be efficiently resolved. We demonstrate a universal feature of the pumpinduced intraband dynamics on the attosecond x-ray transient absorption spectra in condensed-matter systems. This intraband effect is originated from the coherent lightwave electron transport prior to decoherence by scattering interactions or core-hole decay, and it can be connected to previous works on light-induced Fano spectral lineshapes in atomic systems [28]. This effect is important when the time of the attosecond excitation or the core-hole decay overlaps with the IR laser pulse. We also discuss the importance of this effect on ultrafast studies with mid-I...