What is the answer to |2x+3|+3x=1 ?

The answer to |2x+3|+3x=1 is x=-2/5

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|2x+3|+3x=1

∣ 2 x + 3 ∣ + 3 x = 1

x = - \frac{2}{5}

Decimal Notation

x = - 0.4

Solution steps

∣ 2 x + 3 ∣ + 3 x = 1

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or x = - \frac{2}{5}

x = - \frac{2}{5}

12 x + 36 = 144

(\frac{49}{36})^{\frac{3}{2}}

3 (x + 7) \geq 2 x + 6

2 x^{2} + 10 x - 12 = 0

3^{2} + 3^{2} = x^{2}