Question

The model below represents 4x + (-4) = -2x + 8. What is the value of x when solving the equation 4x + (-4) = -2x + 8 using the algebra tiles?

a. x = -4
b. x = -2
c. x = 2
d. x = 4

Answer 1

To find the value of x, you combine like terms after moving all x terms to one side and then isolate x to find that x equals 2, which is option c.

Step-by-step explanation:

The student is asking how to find the value of x in the algebraic equation 4x + (-4) = -2x + 8 using algebra tiles. To solve this equation algebraically, we can follow these steps:

1. Add 2x to both sides of the equation to move all the x terms to one side: 4x + 2x + (-4) = 8.
2. Combine like terms: 6x - 4 = 8.
3. Add 4 to both sides to isolate the term with x: 6x = 12.
4. Divide both sides by 6 to solve for x: x = 2.

Therefore, the answer is x = 2, which corresponds to option c.