1. **State the problem:** Find the x-intercept of the equation $5x + 10y = -30$. 2. **Recall the definition:** The x-intercept is the point where the graph crosses the x-axis. At this point, the value of $y$ is 0. 3. **Substitute $y=0$ into the equation:** $$5x + 10(0) = -30$$ which simplifies to $$5x = -30$$ 4. **Solve for $x$:** $$x = \frac{-30}{5} = -6$$ 5. **Conclusion:** The x-intercept is at the point $(-6, 0)$. This means the graph crosses the x-axis at $x = -6$.