What is the answer to |4x+1|=9 ?

The answer to |4x+1|=9 is x=-5/2 \lor x=2

Solve for x: |4x+1|=9

The solution is x=-5/2 \lor x=2

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∣ 4 x + 1 ∣ = 9

x = - \frac{5}{2} or x = 2

Decimal Notation

x = - 2.5, x = 2

Solution steps

∣ 4 x + 1 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x + 1 = - 9 or 4 x + 1 = 9

4 x + 1 = - 9 or 4 x + 1 = 9

x = - \frac{5}{2} or x = 2

2 ∣ x + 3 ∣ + 4 = 34

- 5 ∣ x - 7 ∣ + 2 = 13

∣ 5 x - 1 ∣ = \frac{1}{2}

5 ∣ 5 - 5 r ∣ - 6 = 19

∣ 3 + 2 x ∣ = 3 - x