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

The answer to |3x+2|=9 is x=-11/3 \lor x= 7/3

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

The solution is x=-11/3 \lor x= 7/3

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∣ 3 x + 2 ∣ = 9

x = - \frac{11}{3} or x = \frac{7}{3}

Decimal Notation

x = - 3.66666 \dots, x = 2.33333 \dots

Solution steps

∣ 3 x + 2 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 2 = - 9 or 3 x + 2 = 9

3 x + 2 = - 9 or 3 x + 2 = 9

x = - \frac{11}{3} or x = \frac{7}{3}

∣ 8 x ∣ - 5 = 75

(2 + ∣ x - 2 ∣) = 1

- x + ∣ 2 x - 7 ∣ = 4

x^{3} - 3 x - 2 = 0.2

2 ∣ 3 x - 6 ∣ = 18