1. **State the problem:** We are given the equation $2x + 5y = 25$ and need to find the value of $x$ in terms of $y$. 2. **Formula and rules:** To isolate $x$, we use algebraic manipulation by moving terms and dividing both sides by the coefficient of $x$. 3. **Isolate $x$:** $$2x + 5y = 25$$ Subtract $5y$ from both sides: $$2x = 25 - 5y$$ 4. **Divide both sides by 2:** $$x = \frac{25 - 5y}{2}$$ Show canceling common factors if any: $$x = \frac{\cancel{5}(5 - y)}{2}$$ (No common factor with denominator, so this is final) 5. **Final answer:** $$x = \frac{25 - 5y}{2}$$ This means $x$ depends on $y$ and can be found by substituting any value of $y$ into this formula.