1. **State the problem:** Find the x-intercept of the line given by the equation $$4y + 3x - 15 = 0$$. 2. **Recall definition:** The x-intercept is the point where the line crosses the x-axis, which means at this point $$y = 0$$. 3. **Substitute $$y=0$$ into the equation:** $$4(0) + 3x - 15 = 0$$ which simplifies to $$3x - 15 = 0$$. 4. **Solve for $$x$$:** $$3x = 15$$ $$x = \frac{15}{3} = 5$$. 5. **Interpret result:** The x-intercept is at the point $$(5,0)$$. **Final answer:** The x-intercept of the line $$4y + 3x - 15 = 0$$ is $$(5,0)$$.