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

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

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

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

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∣ - 3 x + 8 ∣ = 8

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

Decimal Notation

x = 0, x = 5.33333 \dots

Solution steps

∣ - 3 x + 8 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

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

∣ 2 x + 5 ∣ - 4 = 10

∣ x ∣ - 5 = 1

∣ 8 k - 3 ∣ + 5 = 40

3 ∣ - 5 x - 1 ∣ = - 2 x + 3

5 ∣ x - 6 ∣ - 5 = 2