What is the answer to |3x+2|=11 ?

The answer to |3x+2|=11 is x=-13/3 \lor x=3

Solve for x: |3x+2|=11

The solution is x=-13/3 \lor x=3

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∣ 3 x + 2 ∣ = 11

x = - \frac{13}{3} or x = 3

Decimal Notation

x = - 4.33333 \dots, x = 3

Solution steps

∣ 3 x + 2 ∣ = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 2 = - 11 or 3 x + 2 = 11

3 x + 2 = - 11 or 3 x + 2 = 11

x = - \frac{13}{3} or x = 3

x^{2} - 3 x + 2 = 0

∣ 3 x + 2 ∣ = - 5

∣ - a + 8 ∣ - 2 = 0

∣ x - 1 ∣ = x^{2} - 3

8 + 2 ∣ 8 p + 8 ∣ = 72