A phase-slip flux qubit,exactly dual to a charge qubit,is composed of a superconducting loop interrupted by a phase-slip junction.We propose a tunable phase-slip flux qubit by replacing the phase-slip junction with a charge-related superconducting quantum interference device (SQUID) consisting of two phase-slip junctions connected in series with a superconducting island.This charge-SQUID acts as an effective phase-slip junction controlled by the applied gate voltage and can be used to tune the energy-level splitting of the qubit.In addition,we show that a large inductance inserted in the loop can reduce the inductance energy and consequently suppress the dominating flux noise of the phase-slip flux qubit.This enhanced phase-slip flux qubit is exactly dual to a transmon qubit.