1. Let's start by stating the problem: you want to solve for an unknown variable in an equation. 2. The general approach to solving for a variable is to isolate it on one side of the equation. 3. Use inverse operations to undo addition, subtraction, multiplication, or division. 4. For example, if the equation is $ax + b = c$, subtract $b$ from both sides to get $ax = c - b$. 5. Then divide both sides by $a$ to isolate $x$: $$x = \frac{c - b}{a}$$ 6. When dividing both sides, show the cancellation of common factors: $$\frac{\cancel{a}x}{\cancel{a}} = \frac{c - b}{a}$$ 7. This leaves you with the solution for $x$. 8. If you provide a specific equation, I can show the exact steps to solve it.