Final answer:
To model the equation x + 3 = -x - 5 using algebra tiles, place positive and negative tiles to represent the values of x, 3, -x, and -5. Combine like terms to simplify the equation and find the solution.
Step-by-step explanation:
To model the equation x + 3 = -x - 5 using algebra tiles, we can represent the values of x, 3, -x, and -5 using positive and negative tiles. We start with a positive x tile and add a positive 3 tile on one side of the equation. On the other side, we place a negative x tile and a negative 5 tile.
Then, to solve for x, we simplify the equation by combining like terms. We can cancel out the x tiles on both sides of the equation and combine the positive and negative tiles to find that 4 = -8. Since this is not a true statement, there is no solution to the original equation.