Question: User: 5x+25=10
1. **State the problem:** Solve the equation $$5x + 25 = 10$$ for $$x$$.
2. **Formula and rules:** To solve a linear equation, isolate the variable $$x$$ by performing inverse operations.
3. **Step 1:** Subtract $$25$$ from both sides to move constants to the right:
$$5x + 25 - 25 = 10 - 25$$
which simplifies to
$$5x = -15$$
4. **Step 2:** Divide both sides by $$5$$ to solve for $$x$$:
$$\frac{\cancel{5}x}{\cancel{5}} = \frac{-15}{5}$$
which simplifies to
$$x = -3$$
5. **Answer:** The solution to the equation is $$x = -3$$.