To solve the equation \( 6 = mx + b \) for \( x \), follow these steps:

1. **Subtract \( b \) from both sides:**
   \[
   6 - b = mx
   \]

2. **Divide both sides by \( m \) to isolate \( x \):**
   \[
   x = \frac{6 - b}{m}
   \]

So, the solution for \( x \) is:
\[
x = \frac{6 - b}{m}
\]

Would you like more details or have any questions? Here are some related questions you might find interesting:

1. How would the solution change if \( m = 0 \)?
2. What happens if \( b = 6 \) in the equation?
3. How would you solve \( y = mx + b \) for \( x \) in general?
4. How can this form of the equation be used to understand the slope-intercept form of a line?
5. What does the solution represent graphically in the context of a line?

**Tip:** When isolating a variable, always perform the same operation on both sides of the equation to maintain equality.

Learn how to solve the equation 6 = mx + b for x with a detailed step-by-step solution. This problem covers key algebraic concepts, including linear equations and the slope-intercept form. Suitable for students in Grades 7-9.

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