What is the answer to |3x+9|=5 ?

The answer to |3x+9|=5 is x=-14/3 \lor x=-4/3

Solve for x: |3x+9|=5

The solution is x=-14/3 \lor x=-4/3

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∣ 3 x + 9 ∣ = 5

x = - \frac{14}{3} or x = - \frac{4}{3}

Decimal Notation

x = - 4.66666 \dots, x = - 1.33333 \dots

Solution steps

∣ 3 x + 9 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 9 = - 5 or 3 x + 9 = 5

3 x + 9 = - 5 or 3 x + 9 = 5

x = - \frac{14}{3} or x = - \frac{4}{3}

∣ 6 x ∣ - 8 = 16

∣ 3 k - 2 ∣ = - 7

∣ 3 x + 5 ∣ = 11

2 ∣ x - 4 ∣ - 5 = 11 - 13

∣ - 5 x - 9 ∣ = 4