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

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

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

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

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∣ 2 x + 3 ∣ = 4

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

Decimal Notation

x = - 3.5, x = 0.5

Solution steps

∣ 2 x + 3 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

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

∣ 8 x + 3 ∣ = 7

- 2 ∣ x - 6 ∣ - 17 = 3

7 ∣ x - 6 ∣ = 4

2 = ln y - x^{2}

2 x + 1 = 5 ∣ 4 - 2 x ∣ - 10