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

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

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

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

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∣ - 3 x + 2 ∣ = 4

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

Solution steps

∣ - 3 x + 2 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

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

∣ x ∣ = 2 x - 3

- ∣ - 2 + (- a) ∣ + 90 = - 7

x^{2} - 6 x - ∣ 5 x - 15 ∣ - 5 = 0

∣ x + 8 ∣ = 3.5

3 ∣ 3 - x ∣ - 4 ∣ 2 x + 1 ∣ = 2