What is the answer to |5x-4|=16 ?

The answer to |5x-4|=16 is x=-12/5 \lor x=4

Solve for x: |5x-4|=16

The solution is x=-12/5 \lor x=4

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∣ 5 x - 4 ∣ = 16

x = - \frac{12}{5} or x = 4

Decimal Notation

x = - 2.4, x = 4

Solution steps

∣ 5 x - 4 ∣ = 16

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x - 4 = - 16 or 5 x - 4 = 16

5 x - 4 = - 16 or 5 x - 4 = 16

x = - \frac{12}{5} or x = 4

∣ x + 3 ∣ = 12 - 2 x

60 = ∣ 300 - 48 t ∣

∣ 7 x ∣ = x^{2} - 8

∣ 2 x + 8 ∣ = 6

∣ - 14 y + 4 ∣ + 8 = 7