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

The answer to |3x-2|=5 is x=-1\lor x= 7/3

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

The solution is x=-1\lor x= 7/3

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∣ 3 x - 2 ∣ = 5

x = - 1 or x = \frac{7}{3}

Decimal Notation

x = - 1, x = 2.33333 \dots

Solution steps

∣ 3 x - 2 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 2 = - 5 or 3 x - 2 = 5

3 x - 2 = - 5 or 3 x - 2 = 5

x = - 1 or x = \frac{7}{3}

2 x^{2} + 15 x + 18

∣ 7 x - 1 ∣ = 10

x^{2} + 4 x + 8

∣ 2 x - 7 ∣ \geq 1

12 = \frac{5}{2} w