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

The answer to |2x+3|=2 is x=-5/2 \lor x=-1/2

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

The solution is x=-5/2 \lor x=-1/2

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∣ 2 x + 3 ∣ = 2

x = - \frac{5}{2} or x = - \frac{1}{2}

Decimal Notation

x = - 2.5, x = - 0.5

Solution steps

∣ 2 x + 3 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - \frac{5}{2} or x = - \frac{1}{2}

∣ 2 x + 3 ∣ = 4

∣ 8 x + 3 ∣ = 7

- 2 ∣ x - 6 ∣ - 17 = 3

7 ∣ x - 6 ∣ = 4

2 = ln y - x^{2}