A physical scheme is presented for Ne-like Ti x-ray laser driven by a single laser pulse. According to the self-similarity method, we analyze the properties of Ne-like Ti slab plasma generated by irradiation of femtosecond laser with various front edges. Scaling laws for the temperature, scale length, and electron density are obtained. The characteristics of scaling laws for different input parameters are analyzed. Our results show that x-ray laser can be generated by a single femtosecond laser. The femtosecond laser with a gentle front edge is profitable to drive x-ray laser. Our results provide a new schemc for experiments using a single laser pulse to drive the x-ray laser.