Solve For X 5E3C2D

1. **State the problem:** Solve the equation $$2x + 4y = 10$$ for $$x$$. 2. **Formula and rules:** To solve for $$x$$, isolate $$x$$ on one side of the equation by performing inverse operations. 3. **Isolate $$x$$:** $$2x + 4y = 10$$ Subtract $$4y$$ from both sides: $$2x = 10 - 4y$$ 4. **Divide both sides by 2 to solve for $$x$$:** $$x = \frac{10 - 4y}{2}$$ Show cancellation of common factor 2: $$x = \frac{\cancel{2}5 - \cancel{2}2y}{\cancel{2}}$$ 5. **Simplify the fraction:** $$x = 5 - 2y$$ **Final answer:** $$x = 5 - 2y$$