What is the answer to 6-|3x-2|=5 ?

The answer to 6-|3x-2|=5 is x= 1/3 \lor x=1

Solve for x: 6-|3x-2|=5

The solution is x= 1/3 \lor x=1

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6 - ∣ 3 x - 2 ∣ = 5

x = \frac{1}{3} or x = 1

Decimal Notation

x = 0.33333 \dots, x = 1

Solution steps

6 - ∣ 3 x - 2 ∣ = 5

Move

6

to the right side

- ∣ 3 x - 2 ∣ = - 1

Divide both sides by

- 1

∣ 3 x - 2 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 2 = - 1 or 3 x - 2 = 1

3 x - 2 = - 1 or 3 x - 2 = 1

x = \frac{1}{3} or x = 1

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

- 4 < x - 1 < 2

(3 x - 1)^{2} - (x + 1)^{2}

∣ 5 - x ∣ \geq - 6

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