1. **State the problem:** Factorise the expression $8x - 6$. 2. **Identify the common factor:** Both terms $8x$ and $6$ have a common factor of $2$. 3. **Use the distributive property:** $$8x - 6 = 2 \times 4x - 2 \times 3$$ 4. **Factor out the common factor:** $$8x - 6 = 2(4x - 3)$$ 5. **Explanation:** We took out the greatest common factor $2$ from both terms, leaving the expression inside the parentheses as $4x - 3$. **Final answer:** $$8x - 6 = 2(4x - 3)$$