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

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

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

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

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3 ∣ x + 2 ∣ = 2

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

Decimal Notation

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

Solution steps

3 ∣ x + 2 ∣ = 2

Divide both sides by

3

∣ x + 2 ∣ = \frac{2}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 2 = - \frac{2}{3} or x + 2 = \frac{2}{3}

x + 2 = - \frac{2}{3} or x + 2 = \frac{2}{3}

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

3 ∣ x + 2 ∣ = 0

∣ 4 f + 1 ∣ = 7

∣ 2 x - 6 ∣ = - 11

∣ x - 3 ∣ + 7 = 6

∣ 2 p + 5 ∣ = 11