1. **State the problem:** Solve the equation $2x + y = 3x + 2z$ for $x$. 2. **Rewrite the equation:** $$2x + y = 3x + 2z$$ 3. **Isolate terms involving $x$ on one side:** Subtract $2x$ from both sides: $$\cancel{2x} + y - \cancel{2x} = 3x + 2z - 2x$$ which simplifies to $$y = x + 2z$$ 4. **Isolate $x$:** Subtract $2z$ from both sides: $$y - 2z = x + 2z - 2z$$ which simplifies to $$x = y - 2z$$ 5. **Final answer:** $$\boxed{x = y - 2z}$$ This means $x$ is expressed in terms of $y$ and $z$ by subtracting twice $z$ from $y$.