What is the answer to |4x-1|=19 ?

The answer to |4x-1|=19 is x=-9/2 \lor x=5

Solve for x: |4x-1|=19

The solution is x=-9/2 \lor x=5

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∣ 4 x - 1 ∣ = 19

x = - \frac{9}{2} or x = 5

Decimal Notation

x = - 4.5, x = 5

Solution steps

∣ 4 x - 1 ∣ = 19

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 1 = - 19 or 4 x - 1 = 19

4 x - 1 = - 19 or 4 x - 1 = 19

x = - \frac{9}{2} or x = 5

∣ 4 x - 1 ∣ = 11

∣ 10 x - 2 ∣ + 1 = 79

∣ 3 x - 7 ∣ = - 2

∣ 3 x - 7 ∣ = - 4

∣ u - 4 ∣ = - \frac{1}{3}