What is the answer to |3x-5|=11 ?

The answer to |3x-5|=11 is x=-2\lor x= 16/3

Solve for x: |3x-5|=11

The solution is x=-2\lor x= 16/3

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∣ 3 x - 5 ∣ = 11

x = - 2 or x = \frac{16}{3}

Decimal Notation

x = - 2, x = 5.33333 \dots

Solution steps

∣ 3 x - 5 ∣ = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 5 = - 11 or 3 x - 5 = 11

3 x - 5 = - 11 or 3 x - 5 = 11

x = - 2 or x = \frac{16}{3}

∣ d - 4 ∣ = - 2

∣ 8 x + 3 ∣ = 0

2 ∣ x - 4 ∣ - 3 = 5

∣ 2 w ∣ = 0

∣ 7 v - 2 ∣ = - 18