X –12 = -8x + 6 a. x = 2 b. x = -2 c. x = 3 d. x = -3

(a) x = 2

Step-by-step explanation:

x - 12 = -8x + 6

First, move all the like terms to one side of the equation. We will move all the x's to the left, and the rest to the right in this equation. (Don't forget to pay attention to the signs of the numbers as you move them over the equal sign.)

x - 12 + 8x = 6

x + 8x = 6 + 12

9x = 18

Next, solve for x by isolating it to one side of the equation. Here, we'll have to divide 18 by 9 (do the opposite of what 9 is doing with x; instead of multiplying it with 18 like it currently is with x, divide 18 by it.)

x =

x = 2

Therefore, your answer is (a), since x = 2.

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