What is the answer to 6|x-3|=48 ?

The answer to 6|x-3|=48 is x=-5\lor x=11

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6|x-3|=48

6 ∣ x - 3 ∣ = 48

x = - 5 or x = 11

Solution steps

6 ∣ x - 3 ∣ = 48

Divide both sides by

6

∣ x - 3 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 3 = - 8 or x - 3 = 8

x - 3 = - 8 or x - 3 = 8

x = - 5 or x = 11

∣ 9 x ∣ - 11 = x

∣ 3 x - 6 ∣ = 18

∣ 6 x + 7 ∣ = - 10

∣ 15 - b ∣ = 18

∣ x - 2 ∣ = x^{2} + 2 x + 2