1. Stating the problem: Solve the equation $a x - 4 = 10$ for $x$. 2. Add 4 to both sides to isolate the term with $x$: $$a x - 4 + 4 = 10 + 4$$ $$a x = 14$$ 3. Divide both sides by $a$ to solve for $x$: $$\frac{a x}{\cancel{a}} = \frac{14}{\cancel{a}}$$ $$x = \frac{14}{a}$$ 4. Explanation: We first moved the constant term $-4$ to the right side by adding 4 to both sides. Then, to isolate $x$, we divided both sides by the coefficient $a$. This gives the solution $x = \frac{14}{a}$. Final answer: $$x = \frac{14}{a}$$