Question

What is the value of x when solving the equation Negative 2 x + (negative 8) = 2 x + 8 using algebra tiles?

x = negative 4
x = negative 2
x = 2
x = 4

Answer 1

To solve the equation -2x - 8 = 2x + 8 for x, we first cancel out -2x and -8 by adding 2x and 8 to both sides, resulting in 4x = 16; then we divide both sides by 4 to find x = 4.

Step-by-step explanation:

The equation given is Negative 2x + (-8) = 2x + 8. To find the value of x using algebra tiles or algebraically, we first need to get all the x terms on one side and the constant terms on the other side. This involves adding 2x to both sides of the equation to eliminate the negative 2x on the left side, and adding 8 to both sides to eliminate the -8 on the left side, resulting in:

• 2x + 2x = 16
• 4x = 16

Now we divide both sides by 4 to solve for x:

• x = 4

So the value of x when solving the equation is 4.