1. **State the problem:** Solve the equation $$2 - 5x = -1 - 4x$$ for $x$. 2. **Write down the equation:** $$2 - 5x = -1 - 4x$$ 3. **Isolate the variable terms on one side:** Add $5x$ to both sides to move $x$ terms to the right: $$2 = -1 - 4x + 5x$$ 4. **Simplify the right side:** $$2 = -1 + \cancel{-4x} + \cancel{5x} + x$$ 5. **Add 1 to both sides to isolate $x$:** $$2 + 1 = x$$ $$3 = x$$ 6. **Final answer:** $$x = 3$$ This means the value of $x$ that satisfies the equation is 3.