What is the answer to |3x-5|=16 ?

The answer to |3x-5|=16 is x=-11/3 \lor x=7

Solve for x: |3x-5|=16

The solution is x=-11/3 \lor x=7

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∣ 3 x - 5 ∣ = 16

x = - \frac{11}{3} or x = 7

Decimal Notation

x = - 3.66666 \dots, x = 7

Solution steps

∣ 3 x - 5 ∣ = 16

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 5 = - 16 or 3 x - 5 = 16

3 x - 5 = - 16 or 3 x - 5 = 16

x = - \frac{11}{3} or x = 7

∣ 4 x - 2 ∣ + 4 = 4

4 = 2 ∣ r ∣

x, ∣ x - p ∣ = 4

2 ∣ 5 x + 6 ∣ + 2 = 6

∣ 3 x - 5 ∣ = - 8