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

The answer to |3x+3|=2 is x=-5/3 \lor x=-1/3

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

The solution is x=-5/3 \lor x=-1/3

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∣ 3 x + 3 ∣ = 2

x = - \frac{5}{3} or x = - \frac{1}{3}

Decimal Notation

x = - 1.66666 \dots, x = - 0.33333 \dots

Solution steps

∣ 3 x + 3 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - \frac{5}{3} or x = - \frac{1}{3}

- ∣ x ∣ + 1 = 0

∣ 1 - x ∣ = 5 x

∣ 4 x - 15 ∣ + 1 = 18

- 4 = - ∣ x - 8 ∣ + 5

2 ∣ 3 x + 2 ∣ + 1 = 3