Question: User: 2b = 2x __
1. **State the problem:** Solve the equation $$2b = 2x$$ for one variable in terms of the other.
2. **Formula and rules:** To isolate a variable, divide both sides of the equation by the coefficient of that variable.
3. **Isolate $b$:** Divide both sides by 2:
$$\cancel{2}b = \cancel{2}x \implies b = x$$
4. **Isolate $x$:** Alternatively, divide both sides by 2:
$$2b = \cancel{2}x \implies b = x$$
5. **Conclusion:** The equation simplifies to $$b = x$$, meaning $b$ and $x$ are equal.