What is the answer to |3x-5|=8 ?

The answer to |3x-5|=8 is x=-1\lor x= 13/3

Solve for x: |3x-5|=8

The solution is x=-1\lor x= 13/3

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∣ 3 x - 5 ∣ = 8

x = - 1 or x = \frac{13}{3}

Decimal Notation

x = - 1, x = 4.33333 \dots

Solution steps

∣ 3 x - 5 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 5 = - 8 or 3 x - 5 = 8

3 x - 5 = - 8 or 3 x - 5 = 8

x = - 1 or x = \frac{13}{3}

40 - 4 x = 2 ∣ 3 x - 10 ∣

∣ 2 r + 5 ∣ = 4

∣ 8 x - 8 ∣ + 10 = - 14

∣ 2 x - 1 ∣ + 3 = 8

∣ - 5 k ∣ + 3 = 33