What is the answer to 2|x+3|=9 ?

The answer to 2|x+3|=9 is x=-15/2 \lor x= 3/2

Solve for x: 2|x+3|=9

The solution is x=-15/2 \lor x= 3/2

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2 ∣ x + 3 ∣ = 9

x = - \frac{15}{2} or x = \frac{3}{2}

Decimal Notation

x = - 7.5, x = 1.5

Solution steps

2 ∣ x + 3 ∣ = 9

Divide both sides by

2

∣ x + 3 ∣ = \frac{9}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 3 = - \frac{9}{2} or x + 3 = \frac{9}{2}

x + 3 = - \frac{9}{2} or x + 3 = \frac{9}{2}

x = - \frac{15}{2} or x = \frac{3}{2}

2 ∣ x + 3 ∣ = 8

∣ v + 345 ∣ = 15

5 a^{2} - 11 ∣ a ∣ + 2 = 0

∣ 6 x - 9 ∣ = 0

∣ n ∣ + 3 = 13