It is shown that plasma turbulence at the edge of a fusion machine can lead to significant broadening of an X-mode microwave beam, which impacts the performance of the heating systems and diagnostics as well. Based on the similar method developed for the O-mode polarization, the expression for mean microwave power distribution after the beam passing through the plasma edge turbulence is obtained, its spatial and probabilistic distributions are analysed. As this polarization is used for the coherent Thomson Scattering (CTS) on ITER and for the electron cyclotron resonance heating (ECRH) on ASDEX Upgrade, numerical simulations of beam broadening due to the edge turbulence are performed for the two conditions of plasma parameters, related to the planned CTS experiments on ITER and to ECRH experiments on ASDEX Upgrade. Ideas to reduce the beam broadening induced by the edge turbulence in the CTS case have been tested and summarize in the conclusions.