12 + x = 6x + 2; subtract 2 from both sides
10 + x. = 6x;; subtract x from both sides
10 = 5x; divide both sides by 5
2 = x; x = 2
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6x + 2 = 14 The solution: 6x + 2 = 14 6x +2 - 2 = 14 - 2 6x = 12 6x / 6 = 12 / 6 x = 2
x2 + 6x + 12 = 0 x2 + 6x + 9 = -3 (x + 3)2 = -3 x + 3 = ± √-3 x = -3 ± i√3
2(x^2 + 2)(x + 3)
6 + (6 - 6x) = 12 - 6x = 6 (2 - x)
this is the same as 6x - 2 = 6x - 2! There are an infinite number of possibilities for "x".