What is the answer to |4x+1|=7 ?

The answer to |4x+1|=7 is x=-2\lor x= 3/2

Solve for x: |4x+1|=7

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

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∣ 4 x + 1 ∣ = 7

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

Decimal Notation

x = - 2, x = 1.5

Solution steps

∣ 4 x + 1 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x + 1 = - 7 or 4 x + 1 = 7

4 x + 1 = - 7 or 4 x + 1 = 7

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

2 ∣ b + 4 ∣ = 48

2 = ∣ 8 x + 10 ∣

∣ x - 7 ∣ = 21

∣ 5 x - 2 ∣ = 4 x

∣ x + 7.5 ∣ = 2.5