What is the answer to |3x-2|+3=3 ?

The answer to |3x-2|+3=3 is x= 2/3

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|3x-2|+3=3

∣ 3 x - 2 ∣ + 3 = 3

x = \frac{2}{3}

Decimal Notation

x = 0.66666 \dots

Solution steps

∣ 3 x - 2 ∣ + 3 = 3

Subtract

3

from both sides

∣ 3 x - 2 ∣ + 3 - 3 = 3 - 3

Simplify

∣ 3 x - 2 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

3 x - 2 = 0

3 x - 2 = 0 : x = \frac{2}{3}

x = \frac{2}{3}

7 ∣ 3 - 2 y ∣ = 56

0 = ∣ z + 3 ∣

∣ 3 x - 2 ∣ + 8 = 1

- 2 ∣ x - 3 ∣ + 7 = 11

∣ 3 z + 1 ∣ = - 6 z