1. **State the problem:** Solve the equation for $x$: $$7(x+2)+4=-7(x-2)-7$$ 2. **Expand both sides:** $$7x + 14 + 4 = -7x + 14 - 7$$ 3. **Simplify constants:** $$7x + 18 = -7x + 7$$ 4. **Add $7x$ to both sides to collect $x$ terms on one side:** $$7x + 7x + 18 = -7x + 7x + 7$$ $$14x + 18 = 7$$ 5. **Subtract 18 from both sides:** $$14x + \cancel{18} - \cancel{18} = 7 - 18$$ $$14x = -11$$ 6. **Divide both sides by 14 to isolate $x$:** $$x = \frac{-11}{14}$$ **Final answer:** $$x = -\frac{11}{14}$$