Perimeter Expression A9Ada6

1. **State the problem:** We are given three expressions representing the sides of a figure: $3x+8$, $5x+2$, and $7x-4$. We need to find the perimeter, which is the sum of all side lengths.\n\n2. **Formula:** The perimeter $P$ of a polygon is the sum of the lengths of all its sides. Here, \n$$P = (3x+8) + (5x+2) + (7x-4)$$\n\n3. **Add the expressions:** Combine like terms carefully.\n$$P = 3x + 8 + 5x + 2 + 7x - 4$$\n$$P = (3x + 5x + 7x) + (8 + 2 - 4)$$\n$$P = 15x + 6$$\n\n4. **Final answer:** The perimeter is $$\boxed{15x + 6}$$. This expression gives the perimeter in terms of $x$.