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. **Apply the factorisation formula:** $$a b - a c = a(b - c)$$ Here, $a = 2$, $b = 4x$, and $c = 3$. 4. **Factor out the common factor:** $$8x - 6 = 2 \times 4x - 2 \times 3 = 2(4x - 3)$$ 5. **Final answer:** $$\boxed{2(4x - 3)}$$ This means the expression $8x - 6$ is factorised as $2(4x - 3)$.