What is the answer to |3x-4|=4 ?

The answer to |3x-4|=4 is x=0\lor x= 8/3

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|3x-4|=4

∣ 3 x - 4 ∣ = 4

x = 0 or x = \frac{8}{3}

Decimal Notation

x = 0, x = 2.66666 \dots

Solution steps

∣ 3 x - 4 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 4 = - 4 or 3 x - 4 = 4

3 x - 4 = - 4 or 3 x - 4 = 4

x = 0 or x = \frac{8}{3}

∣ w ∣ = 8

∣ 7 - 14 x ∣ = 28

10 = ∣ 1 - c ∣

- 7 = ∣ y - 4 ∣

5 + 2 ∣ 2 x + 4 ∣ = 99