What is the answer to |-3x+8|=14 ?

The answer to |-3x+8|=14 is x=-2\lor x= 22/3

Solve for x: |-3x+8|=14

The solution is x=-2\lor x= 22/3

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∣ - 3 x + 8 ∣ = 14

x = - 2 or x = \frac{22}{3}

Solution steps

∣ - 3 x + 8 ∣ = 14

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 3 x + 8 = - 14 or - 3 x + 8 = 14

- 3 x + 8 = - 14 or - 3 x + 8 = 14

x = - 2 or x = \frac{22}{3}

∣ 4 x - 9 ∣ = 5 x

∣ 4 x + 5 ∣ = 2 x + 4

- 10 ∣ h + 5 ∣ - 3 = - 83

∣ 1 - 4 t ∣ = 5

∣ - 2 a + 1 ∣ = 17