What is the answer to |1-4x|=5 ?

The answer to |1-4x|=5 is x=-1\lor x= 3/2

Solve for x: |1-4x|=5

The solution is x=-1\lor x= 3/2

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∣ 1 - 4 x ∣ = 5

x = - 1 or x = \frac{3}{2}

Solution steps

∣ 1 - 4 x ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

1 - 4 x = - 5 or 1 - 4 x = 5

1 - 4 x = - 5 or 1 - 4 x = 5

x = - 1 or x = \frac{3}{2}

∣ 5 c - 1 ∣ - 5 = 4

∣ 2 x - 1 ∣ = 4 x

5 ∣ x - 6 ∣ = 20

∣ 3 x + 9 ∣ - 7 = x

3 ∣ x - 1 ∣ - 2 = 13