What is the answer to |4x+3|=-5x ?

The answer to |4x+3|=-5x is x=-1/3

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|4x+3|=-5x

∣ 4 x + 3 ∣ = - 5 x

x = - \frac{1}{3}

Decimal Notation

x = - 0.33333 \dots

Solution steps

∣ 4 x + 3 ∣ = - 5 x

Find positive and negative intervals

x < - \frac{3}{4}, x \geq - \frac{3}{4}

Solve the inequality for each interval

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

x = - \frac{1}{3}

- ∣ w ∣ = - 12

- 5 ∣ g ∣ = 0

∣ x + 3 ∣ = 4 x

2 ∣ 4 - 3 x ∣ = 12 x + 4

\frac{∣ x ∣}{4} = 12