1. **State the problem:** Solve for $x$ in the equation $5(9-4) + x(2-5) = 0$. 2. **Apply the distributive property:** Calculate the values inside the parentheses. $$5(9-4) + x(2-5) = 5 \times 5 + x \times (-3)$$ 3. **Simplify the expression:** $$25 - 3x = 0$$ 4. **Isolate the variable term:** Subtract 25 from both sides. $$25 - 3x - 25 = 0 - 25$$ $$-3x = -25$$ 5. **Divide both sides by -3 to solve for $x$:** $$x = \frac{-25}{-3}$$ 6. **Simplify the fraction:** $$x = \cancel{-}\frac{25}{\cancel{-}3} = \frac{25}{3}$$ **Final answer:** $$x = \frac{25}{3}$$