Question: User: 185x = 400
1. **State the problem:** Solve the equation $$185x = 400$$ for $$x$$.
2. **Formula and rule:** To solve for $$x$$, divide both sides of the equation by the coefficient of $$x$$, which is $$185$$.
3. **Intermediate work:**
$$x = \frac{400}{185}$$
4. **Simplify the fraction:** Both numerator and denominator can be divided by 5:
$$x = \frac{\cancel{400}^\div_5}{\cancel{185}^\div_5} = \frac{80}{37}$$
5. **Final answer:**
$$x = \frac{80}{37}$$
This means $$x$$ is approximately $$2.162$$ when expressed as a decimal.