1. **State the problem:** Factorise the expression $6x - 4$. 2. **Recall the factoring rule:** To factorise an expression, find the greatest common factor (GCF) of all terms. 3. **Find the GCF:** The terms are $6x$ and $-4$. The GCF of 6 and 4 is 2. 4. **Factor out the GCF:** $$6x - 4 = 2 \times 3x - 2 \times 2$$ 5. **Use the distributive property:** $$6x - 4 = 2(3x - 2)$$ 6. **Final answer:** The factorised form of $6x - 4$ is $$\boxed{2(3x - 2)}$$