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.

Learn how to solve the linear equation y = mx + b for x. This step-by-step guide covers key algebraic concepts and formulas used in solving linear equations. Suitable for students in Grades 8-10.

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