1. **State the problem:** Solve the equation $3x + 10 = 2x - 5m$ for $x$. 2. **Isolate the variable $x$:** To solve for $x$, we want to get all terms containing $x$ on one side and constants on the other. 3. **Subtract $2x$ from both sides:** $$3x + 10 - 2x = 2x - 5m - 2x$$ which simplifies to $$x + 10 = -5m$$ 4. **Subtract 10 from both sides:** $$x + 10 - 10 = -5m - 10$$ which simplifies to $$x = -5m - 10$$ 5. **Final answer:** $$\boxed{x = -5m - 10}$$ This means $x$ depends on the value of $m$. For any given $m$, you can substitute it into this expression to find $x$.