What is the answer to |3x+2|=6 ?

The answer to |3x+2|=6 is x=-8/3 \lor x= 4/3

Solve for x: |3x+2|=6

The solution is x=-8/3 \lor x= 4/3

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∣ 3 x + 2 ∣ = 6

x = - \frac{8}{3} or x = \frac{4}{3}

Decimal Notation

x = - 2.66666 \dots, x = 1.33333 \dots

Solution steps

∣ 3 x + 2 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 2 = - 6 or 3 x + 2 = 6

3 x + 2 = - 6 or 3 x + 2 = 6

x = - \frac{8}{3} or x = \frac{4}{3}

∣ 2 - 5 x ∣ = 3

2 ∣ 3 x + 4 ∣ - 10 = 12

∣ x - 2 ∣ = 2 x - 6

∣ x - 2 ∣ = 2 x - 3

3 = \frac{∣ n ∣}{7}