The given equation is:

\[
w = \frac{x}{a} - b
\]

To solve for \(x\), follow these steps:

1. Add \(b\) to both sides:
   \[
   w + b = \frac{x}{a}
   \]

2. Multiply both sides by \(a\) to isolate \(x\):
   \[
   a(w + b) = x
   \]

Thus, the solution for \(x\) is:

\[
x = a(w + b)
\]

Would you like further details or have any questions?

Here are 5 related questions to expand this concept:
1. How would the equation change if you wanted to solve for \(a\) instead?
2. What if \(w = 0\)? What would \(x\) be in that case?
3. How does the solution change if there is an additional constant added to the equation?
4. Can you graph the equation in terms of \(x\) and \(w\)?
5. What happens if \(b = 0\) in the equation?

**Tip**: Always check your steps by substituting the final result back into the original equation to verify your solution.

Learn how to solve the linear equation w = x/a - b for x. This problem involves key algebraic concepts and step-by-step manipulation of variables to isolate x. Suitable for students in Grades 6-8, this example covers basic algebra and linear equations.

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