What is the answer to |2x+5|=4 ?

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

Solve for x: |2x+5|=4

The solution is x=-9/2 \lor x=-1/2

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∣ 2 x + 5 ∣ = 4

x = - \frac{9}{2} or x = - \frac{1}{2}

Decimal Notation

x = - 4.5, x = - 0.5

Solution steps

∣ 2 x + 5 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 5 = - 4 or 2 x + 5 = 4

2 x + 5 = - 4 or 2 x + 5 = 4

x = - \frac{9}{2} or x = - \frac{1}{2}

- 5 ∣ 6 - 3 n ∣ = - 30

∣ 5 y - 8 ∣ = 12

4 ∣ x - 10 ∣ = 44

∣ 2 - 3 x ∣ = 8

∣ 3 x - 4 ∣ = 6