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

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

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

The solution is x=-1/3 \lor x= 5/3

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3 = ∣ 3 x - 2 ∣

x = - \frac{1}{3} or x = \frac{5}{3}

Decimal

x = - 0.33333 \dots, x = 1.66666 \dots

Solution steps

3 = ∣ 3 x - 2 ∣

Switch sides

∣ 3 x - 2 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - \frac{1}{3} or x = \frac{5}{3}

43 = ∣ c + 21 ∣

∣ x + 2 ∣ = 4 + 2 x

x^{2} - 16 = x^{2} - 16

∣ 2 x - 1 ∣ = x - 6

∣ 5 x - 2 ∣ = 3 x + 5