The equation you provided is:

$ax - bx = c$

Solution:

1. Combine like terms on the left-hand side:

$(ax - bx) = (a - b)x$

2. This simplifies to:

$(a - b)x = c$

3. To solve for $x$, divide both sides of the equation by $(a - b)$ (assuming $a \neq b$):

$x = \frac{c}{a - b}$

So, the solution for $x$ is:

$x = \frac{c}{a - b}$

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Would you like further details or have any questions?

Related questions:

1. How does this equation change if $a = b$?
2. What happens if $c = 0$?
3. How can this be applied to a system of equations?
4. What is the graphical interpretation of this equation?
5. Can you derive other forms of the solution by manipulating the equation?

Tip:

Always check for cases where the denominator becomes zero, as it could lead to undefined solutions.