Question: solve for $x$
1. **State the problem:** We need to solve for the variable $x$ in an equation.
2. **General approach:** To solve for $x$, isolate $x$ on one side of the equation using algebraic operations such as addition, subtraction, multiplication, division, and applying inverse operations.
3. **Example:** Suppose the equation is $ax + b = c$ where $a$, $b$, and $c$ are constants.
4. **Isolate $x$:** Subtract $b$ from both sides:
$$ax + b - b = c - b$$
$$ax = c - b$$
5. **Divide both sides by $a$ (assuming $a \neq 0$):**
$$\frac{\cancel{a}x}{\cancel{a}} = \frac{c - b}{a}$$
$$x = \frac{c - b}{a}$$
6. **Conclusion:** The solution for $x$ is $$x = \frac{c - b}{a}$$.
If you provide a specific equation, I can solve it step-by-step for you.