What is the answer to |4x+1|=13 ?

The answer to |4x+1|=13 is x=-7/2 \lor x=3

Solve for x: |4x+1|=13

The solution is x=-7/2 \lor x=3

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∣ 4 x + 1 ∣ = 13

x = - \frac{7}{2} or x = 3

Decimal Notation

x = - 3.5, x = 3

Solution steps

∣ 4 x + 1 ∣ = 13

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x + 1 = - 13 or 4 x + 1 = 13

4 x + 1 = - 13 or 4 x + 1 = 13

x = - \frac{7}{2} or x = 3

∣ 4 x + 1 ∣ = 11

\frac{∣ - 4 - 3 x ∣}{4} = 2

∣ 7 t + 8 ∣ + 7 = 10

∣ 5 x + 8 ∣ = 0

∣ 4 x + 1 ∣ = - 1