What is the answer to |2x+4|=3 ?

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

Solve for x: |2x+4|=3

The solution is x=-7/2 \lor x=-1/2

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∣ 2 x + 4 ∣ = 3

x = - \frac{7}{2} or x = - \frac{1}{2}

Decimal Notation

x = - 3.5, x = - 0.5

Solution steps

∣ 2 x + 4 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 4 = - 3 or 2 x + 4 = 3

2 x + 4 = - 3 or 2 x + 4 = 3

x = - \frac{7}{2} or x = - \frac{1}{2}

5 - ∣ 2 x - 3 ∣ = 7

3 ∣ x + 4 ∣ = 10

∣ 12 x + 10 ∣ = 6

x, ∣ 2 x + 3 ∣ = 7

x, ∣ 10 x ∣ = 25