What is the answer to |3x-2|=10 ?

The answer to |3x-2|=10 is x=-8/3 \lor x=4

Solve for x: |3x-2|=10

The solution is x=-8/3 \lor x=4

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∣ 3 x - 2 ∣ = 10

x = - \frac{8}{3} or x = 4

Decimal Notation

x = - 2.66666 \dots, x = 4

Solution steps

∣ 3 x - 2 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 2 = - 10 or 3 x - 2 = 10

3 x - 2 = - 10 or 3 x - 2 = 10

x = - \frac{8}{3} or x = 4

6 ∣ 2 x - 3 ∣ - 9 = 33

∣ x - 2 ∣ = 6 x + 18

10 - 2 ∣ x + 2 ∣ = 5

4 ∣ x - 6 ∣ + 2 = 30

5 ∣ x - 3 ∣ - 12 = 8