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

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

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|3x+2|=-3x

∣ 3 x + 2 ∣ = - 3 x

x = - \frac{1}{3}

Decimal

x = - 0.33333 \dots

Solution steps

∣ 3 x + 2 ∣ = - 3 x

Find positive and negative intervals

x < - \frac{2}{3}, x \geq - \frac{2}{3}

Solve the inequality for each interval

No Solution or x = - \frac{1}{3}

x = - \frac{1}{3}

5 - ∣ x - 3 ∣ = 6 - ∣ x - 10 ∣

∣ - 6 x - 5 ∣ = 41

∣ 6 x ∣ = 0

y, ∣ x - y ∣ = 0

x^{2} - 3 x ∣ - 2 ∣ = 2