To solve the equation $y = mx + b$ for $x$, follow these steps:

1. Subtract $b$ from both sides to isolate the term involving $x$: $y - b = mx$

2. Divide both sides by $m$ to solve for $x$: $x = \frac{y - b}{m}$

Thus, the solution for $x$ is: $x = \frac{y - b}{m}$

Would you like further details or clarifications on this? Here are five related questions to consider:

1. What happens to the equation when $m = 0$?
2. How can this formula be used to find the x-intercept of a line?
3. Can you solve for $y$ instead of $x$ in terms of other variables?
4. How does this relate to the slope-intercept form of a linear equation?
5. What is the physical interpretation of $m$ and $b$ in a real-world scenario?

Tip: When solving linear equations, always check for special cases, such as when $m = 0$, which could lead to no solution or an infinite number of solutions.