1. The problem asks to find the $x$ value where the two functions $f(x) = x + 3$ and $g(x) = -x - 5$ are equal. 2. To find the solution, set the two functions equal to each other: $$x + 3 = -x - 5$$ 3. Add $x$ to both sides to get all $x$ terms on one side: $$x + x + 3 = -5$$ $$2x + 3 = -5$$ 4. Subtract 3 from both sides: $$2x = -5 - 3$$ $$2x = -8$$ 5. Divide both sides by 2 to solve for $x$: $$x = \frac{-8}{2} = -4$$ 6. Therefore, the $x$ value where $f(x)$ and $g(x)$ intersect is $x = -4$. 7. To verify, substitute $x = -4$ into both functions: $$f(-4) = -4 + 3 = -1$$ $$g(-4) = -(-4) - 5 = 4 - 5 = -1$$ Both equal $-1$, confirming the solution.