What is the answer to 3-4|6x-8|=3 ?

The answer to 3-4|6x-8|=3 is x= 4/3

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3-4|6x-8|=3

3 - 4 ∣ 6 x - 8 ∣ = 3

x = \frac{4}{3}

Decimal Notation

x = 1.33333 \dots

Solution steps

3 - 4 ∣ 6 x - 8 ∣ = 3

Subtract

3

from both sides

3 - 4 ∣ 6 x - 8 ∣ - 3 = 3 - 3

Simplify

- 4 ∣ 6 x - 8 ∣ = 0

Divide both sides by

- 4

∣ 6 x - 8 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

6 x - 8 = 0

6 x - 8 = 0 : x = \frac{4}{3}

x = \frac{4}{3}

∣ y ∣ + 9 = 0

2 ∣ 5 x + 4 ∣ - 5 = x - 2

3 ∣ 2 - 9 x ∣ = 3 x + 6

1 = ∣ m ∣ - 6

- 5 ∣ 3 k + 4 ∣ = 55