What is the answer to 6|6-2x|=36 ?

The answer to 6|6-2x|=36 is x=0\lor x=6

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6|6-2x|=36

6 ∣ 6 - 2 x ∣ = 36

x = 0 or x = 6

Solution steps

6 ∣ 6 - 2 x ∣ = 36

Divide both sides by

6

∣ 6 - 2 x ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 - 2 x = - 6 or 6 - 2 x = 6

6 - 2 x = - 6 or 6 - 2 x = 6

x = 0 or x = 6

∣ 32 - 6 f ∣ = 20

28 = ∣ t ∣ + 8

2 ∣ x - 8 ∣ = 14

∣ w - 4 ∣ = 0

x, 4 ∣ x ∣ + y = 4