What is the answer to |x-2|+3x-1=0 ?

The answer to |x-2|+3x-1=0 is x=-1/2

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|x-2|+3x-1=0

∣ x - 2 ∣ + 3 x - 1 = 0

x = - \frac{1}{2}

Decimal Notation

x = - 0.5

Solution steps

∣ x - 2 ∣ + 3 x - 1 = 0

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

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

x = - \frac{1}{2}

4 - ∣ 5 - 3 x ∣ = 0

∣ 2 x + 1 ∣ = 1

- 5 ∣ 9 k ∣ + 1 = - 89

∣ 1 - x ∣ = 7

∣ 2 x + 7 ∣ = 3