What is the answer to |3x+1|=-4x+2 ?

The answer to |3x+1|=-4x+2 is x= 1/7

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|3x+1|=-4x+2

∣ 3 x + 1 ∣ = - 4 x + 2

x = \frac{1}{7}

Decimal Notation

x = 0.14285 \dots

Solution steps

∣ 3 x + 1 ∣ = - 4 x + 2

Find positive and negative intervals

x < - \frac{1}{3}, x \geq - \frac{1}{3}

Solve the inequality for each interval

No Solution or x = \frac{1}{7}

x = \frac{1}{7}

∣ - 12 x + 13 ∣ + 4 = 9 x

- 6 - 2 ∣ 3 x + 1 ∣ = - 14

3 = ∣ - 3 h ∣

- 3 ∣ 5 x + 10 ∣ = - 20

1 = ∣ w - 7 ∣