What is the answer to |3x-2|=11 ?

The answer to |3x-2|=11 is x=-3\lor x= 13/3

Solve for x: |3x-2|=11

The solution is x=-3\lor x= 13/3

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∣ 3 x - 2 ∣ = 11

x = - 3 or x = \frac{13}{3}

Decimal Notation

x = - 3, x = 4.33333 \dots

Solution steps

∣ 3 x - 2 ∣ = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 2 = - 11 or 3 x - 2 = 11

3 x - 2 = - 11 or 3 x - 2 = 11

x = - 3 or x = \frac{13}{3}

∣ x - 2 ∣ = 6 x + 13

∣ 3 x - 2 ∣ = 23

10 - 4 ∣ 4 - 5 x ∣ = - 26

\frac{t}{2} = - 6

1 = ∣ r + 4 ∣