What is the answer to |8-3x|=8 ?

The answer to |8-3x|=8 is x=0\lor x= 16/3

Solve for x: |8-3x|=8

The solution is x=0\lor x= 16/3

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∣ 8 - 3 x ∣ = 8

x = 0 or x = \frac{16}{3}

Solution steps

∣ 8 - 3 x ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = 0 or x = \frac{16}{3}

∣ 8 - 3 x ∣ = 9

∣ x - 5 ∣ = 20

∣ p ∣ = 1

∣ p ∣ = 6

∣ 7 z ∣ - 16 = z - 10