What is the answer to |5x-1|=21 ?

The answer to |5x-1|=21 is x=-4\lor x= 22/5

Solve for x: |5x-1|=21

The solution is x=-4\lor x= 22/5

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∣ 5 x - 1 ∣ = 21

x = - 4 or x = \frac{22}{5}

Decimal Notation

x = - 4, x = 4.4

Solution steps

∣ 5 x - 1 ∣ = 21

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x - 1 = - 21 or 5 x - 1 = 21

5 x - 1 = - 21 or 5 x - 1 = 21

x = - 4 or x = \frac{22}{5}

3 x = x^{2} - 10

x + 5 = ∣ 2 x ∣

0 = ∣ t - 3 ∣

x^{2} = 1

∣ 5 k + 6 ∣ - 2 = 27