What is the answer to |4x+1|=3 ?

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

Solve for x: |4x+1|=3

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

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∣ 4 x + 1 ∣ = 3

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

Decimal Notation

x = - 1, x = 0.5

Solution steps

∣ 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 = - 1 or x = \frac{1}{2}

∣ 2 x + 3 ∣ - 7 = 3 x

37 = ∣ y + 16 ∣

∣ 4 x - 2 ∣ - 8 = 0

3 ∣ x - 5 ∣ = 27

∣ x - 3 ∣ + 2 = 5