What is the answer to |3x-4|=2 ?

The answer to |3x-4|=2 is x= 2/3 \lor x=2

Solve for x: |3x-4|=2

The solution is x= 2/3 \lor x=2

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∣ 3 x - 4 ∣ = 2

x = \frac{2}{3} or x = 2

Decimal Notation

x = 0.66666 \dots, x = 2

Solution steps

∣ 3 x - 4 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 4 = - 2 or 3 x - 4 = 2

3 x - 4 = - 2 or 3 x - 4 = 2

x = \frac{2}{3} or x = 2

∣ w ∣ = 7

5 ∣ u + 6 ∣ - 57 = - 7

∣ x - 7 ∣ + 3 = - 15

10 ∣ 1 - 7 x ∣ - 5 = 75

x^{2} - 4 = x + 2