1. **State the problem:** Factorise the expression $8x - 6$. 2. **Recall the factoring rule:** To factorise an expression, find the greatest common factor (GCF) of all terms and factor it out. 3. **Find the GCF:** The terms are $8x$ and $-6$. The GCF of 8 and 6 is 2. 4. **Factor out the GCF:** $$8x - 6 = 2 \times 4x - 2 \times 3 = 2(4x - 3)$$ 5. **Intermediate step showing cancellation:** $$\cancel{2} \times 4x - \cancel{2} \times 3 = 2(4x - 3)$$ 6. **Final answer:** The factorised form of $8x - 6$ is $2(4x - 3)$. This means we have taken out the common factor 2 from both terms, simplifying the expression.