Question: User: 5x+81=x-344
1. **State the problem:** Solve the equation $$5x + 81 = x - 344$$ for $$x$$.
2. **Write down the formula and rules:** To solve linear equations, we isolate the variable on one side by performing the same operations on both sides.
3. **Step 1: Move all $$x$$ terms to one side.** Subtract $$x$$ from both sides:
$$5x + 81 - x = x - 344 - x$$
which simplifies to
$$4x + 81 = -344$$
4. **Step 2: Move constants to the other side.** Subtract $$81$$ from both sides:
$$4x + 81 - 81 = -344 - 81$$
which simplifies to
$$4x = -425$$
5. **Step 3: Solve for $$x$$ by dividing both sides by $$4$$:**
$$x = \frac{-425}{4}$$
6. **Step 4: Simplify the fraction if possible.** Here, $$425$$ and $$4$$ have no common factors, so the solution is:
$$x = -\frac{425}{4}$$
**Final answer:** $$x = -\frac{425}{4}$$ or $$x = -106.25$$.