What is the answer to |x+4|+3x=2 ?

The answer to |x+4|+3x=2 is x=-1/2

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|x+4|+3x=2

∣ x + 4 ∣ + 3 x = 2

x = - \frac{1}{2}

Decimal Notation

x = - 0.5

Solution steps

∣ x + 4 ∣ + 3 x = 2

Find positive and negative intervals

x < - 4, x \geq - 4

Solve the inequality for each interval

No Solution or x = - \frac{1}{2}

x = - \frac{1}{2}

x^{3} - x^{2} + 3 x - 3

2 x^{2} + 8 x - 154 = 0

x^{2} - 8 x = - 17

x^{2} - 16 = 6 x

5 x + 30