What is the answer to |3x+14|=-6x ?

The answer to |3x+14|=-6x is x=-14/9

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|3x+14|=-6x

∣ 3 x + 14 ∣ = - 6 x

x = - \frac{14}{9}

Decimal Notation

x = - 1.55555 \dots

Solution steps

∣ 3 x + 14 ∣ = - 6 x

Find positive and negative intervals

x < - \frac{14}{3}, x \geq - \frac{14}{3}

Solve the inequality for each interval

No Solution or x = - \frac{14}{9}

x = - \frac{14}{9}

∣ x - 20 ∣ = 46

∣ x - 4 ∣ + 8 = 3 x

∣ 13 - 2 y ∣ = 19

1 + ∣ 7 + 3 x ∣ = 12

∣ x + 5 ∣ - 3 = 1