What is the answer to |3x-2|+6=6 ?

The answer to |3x-2|+6=6 is x= 2/3

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|3x-2|+6=6

∣ 3 x - 2 ∣ + 6 = 6

x = \frac{2}{3}

Decimal Notation

x = 0.66666 \dots

Solution steps

∣ 3 x - 2 ∣ + 6 = 6

Subtract

6

from both sides

∣ 3 x - 2 ∣ + 6 - 6 = 6 - 6

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}

(x - 3)^{2} = 20

25 m^{6} - n^{2}

63 - 9 y = 0

\frac{\frac{1}{3} + \frac{1}{4}}{\frac{1}{3} - \frac{1}{4}}

- 7 x^{2} + x + 9 = - 6 x