1. The problem is to solve an equation or expression where the right side must remain unchanged. 2. When solving equations, the goal is to isolate the variable on one side without altering the other side. 3. For example, if the equation is $ax + b = c$, and we are told not to change the right side $c$, we can only perform operations on the left side. 4. To isolate $x$, subtract $b$ from the left side: $$ax + b - b = c - b$$ 5. But since we cannot change the right side, we keep it as $c$, so we write: $$ax = c - b$$ 6. Next, divide both sides by $a$ to solve for $x$: $$\frac{ax}{a} = \frac{c - b}{a}$$ 7. Using cancellation notation: $$\frac{\cancel{a}x}{\cancel{a}} = \frac{c - b}{a}$$ 8. This simplifies to: $$x = \frac{c - b}{a}$$ 9. The right side remains $c$ only if $b=0$, otherwise it changes to $c - b$ or $\frac{c - b}{a}$. 10. Therefore, the instruction "Don’t change the right side" means we cannot perform operations on the right side, only on the left side. Final answer: The variable $x$ is isolated as $$x = \frac{c - b}{a}$$ assuming $a \neq 0$ and the right side $c$ is not altered by operations.