What is the answer to |6x|-8=16 ?

The answer to |6x|-8=16 is x=-4\lor x=4

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|6x|-8=16

∣ 6 x ∣ - 8 = 16

x = - 4 or x = 4

Solution steps

∣ 6 x ∣ - 8 = 16

Move

8

to the right side

∣ 6 x ∣ = 24

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 x = - 24 or 6 x = 24

6 x = - 24 or 6 x = 24

x = - 4 or x = 4

∣ 3 k - 2 ∣ = - 7

∣ 3 x + 5 ∣ = 11

2 ∣ x - 4 ∣ - 5 = 11 - 13

∣ - 5 x - 9 ∣ = 4

x^{2} - 5 x = 6 - x^{2}