Question: Find the value of $x$. Remember to check your answer!
$48 \div x = 24$
$x = [ ? ]$
1. **State the problem:** We need to find the value of $x$ such that $48 \div x = 24$.
2. **Write the equation:**
$$\frac{48}{x} = 24$$
3. **Solve for $x$:** Multiply both sides by $x$ to get rid of the denominator:
$$\cancel{x} \times \frac{48}{\cancel{x}} = 24x \implies 48 = 24x$$
4. **Isolate $x$:** Divide both sides by 24:
$$\frac{48}{\cancel{24}} = \frac{24x}{\cancel{24}} \implies 2 = x$$
5. **Check the answer:** Substitute $x=2$ back into the original equation:
$$48 \div 2 = 24$$
This is true, so $x=2$ is correct.
**Final answer:**
$$x = 2$$