Final answer:
To solve the equation 4x + 5 = 3x + 4 using algebra tiles, arrange the tiles on both sides of the equation to visually balance the equation. Then, simplify the equation by combining like terms and solving for x.
Step-by-step explanation:
To solve the equation 4x + 5 = 3x + 4 using algebra tiles, we can represent 4x as four x-tiles and represent 5 as five unit tiles. Similarly, we can represent 3x as three x-tiles and represent 4 as four unit tiles. By arranging the tiles on both sides of the equation, we can visually see that both sides are balanced. This means that the value of x is the same on both sides of the equation. So we have:
4x + 5 = 3x + 4
Subtract 3x from both sides:
4x - 3x + 5 = 3x - 3x + 4
Simplify:
x + 5 = 4
Subtract 5 from both sides:
x + 5 - 5 = 4 - 5
Simplify:
x = -1
Therefore, the value of x in the equation 4x + 5 = 3x + 4 is x = -1.