What is the answer to 2|4x-1|=6 ?

The answer to 2|4x-1|=6 is x=-1/2 \lor x=1

Solve for x: 2|4x-1|=6

The solution is x=-1/2 \lor x=1

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2 ∣ 4 x - 1 ∣ = 6

x = - \frac{1}{2} or x = 1

Decimal Notation

x = - 0.5, x = 1

Solution steps

2 ∣ 4 x - 1 ∣ = 6

Divide both sides by

2

∣ 4 x - 1 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 1 = - 3 or 4 x - 1 = 3

4 x - 1 = - 3 or 4 x - 1 = 3

x = - \frac{1}{2} or x = 1

16 = ∣ 5 t + 4 ∣

- 4 = 4 ∣ x + 4 ∣ + 7

∣ 3 x - 5 ∣ = 10

∣ - 2 x + 6 ∣ = 6

∣ x + 6 ∣ = 4