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

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

x = - \frac{1}{7}

∣ 8 x + 3 ∣ + 5 = 4

x^{2} + 8 x + 4 = ∣ x + 2 ∣ + 3

∣ 8 - 2 x ∣ = 0

∣ - 3 x + 3 ∣ = 33

∣ - x ∣ + 9 = 12