What is the answer to |5x-2|=18 ?

The answer to |5x-2|=18 is x=-16/5 \lor x=4

Solve for x: |5x-2|=18

The solution is x=-16/5 \lor x=4

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∣ 5 x - 2 ∣ = 18

x = - \frac{16}{5} or x = 4

Solution steps

∣ 5 x - 2 ∣ = 18

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x - 2 = - 18 or 5 x - 2 = 18

5 x - 2 = - 18 or 5 x - 2 = 18

x = - \frac{16}{5} or x = 4

11 ∣ x - 9 ∣ = 121

∣ x - 2 ∣ = - x^{2} + 4 x - 2

∣ s - 6 ∣ = 0

3 x - 6 = ∣ 2 x + 5 ∣ - 1

∣ 7 x + 4 ∣ = - 32