The equation provided is $y = mx + b$, and we are asked to solve for $x$.

Step-by-step solution:

1. Start with the equation: $y = mx + b$

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

3. Now, 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 clarification or more details on any steps?

Here are five related questions to explore further:

1. How would the solution change if $m = 0$?
2. Can you explain the geometric interpretation of the equation $y = mx + b$?
3. What happens to $x$ if $y = b$?
4. How do you solve the equation if both $m$ and $b$ are unknown?
5. How does this equation relate to the slope-intercept form of a linear equation?

Tip: When solving for a variable, always aim to isolate the variable on one side by using inverse operations, like addition, subtraction, multiplication, or division.