What is the answer to |2x-4|=8 ?

The answer to |2x-4|=8 is x=-2\lor x=6

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|2x-4|=8

∣ 2 x - 4 ∣ = 8

x = - 2 or x = 6

Solution steps

∣ 2 x - 4 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 4 = - 8 or 2 x - 4 = 8

2 x - 4 = - 8 or 2 x - 4 = 8

x = - 2 or x = 6

8 - 4 i

- x^{2} + 3 x + 18

8 x - 5 (x - 3) = 18

\frac{1}{12} + \frac{3}{4}

(x^{2}) (x)