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

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

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|x-2|=3x+4

∣ x - 2 ∣ = 3 x + 4

x = - \frac{1}{2}

Decimal Notation

x = - 0.5

Solution steps

∣ x - 2 ∣ = 3 x + 4

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}

∣ - 2 x + 5 ∣ = 17

∣ 4 + 2 x ∣ + 11 = 5, x

∣ - 3 n ∣ = 6

∣ 10 x - 5 ∣ + 3 = 18

∣ 4 - 3 x ∣ + 12 = 7