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

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

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|x-4|=3x+2

∣ x - 4 ∣ = 3 x + 2

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

∣ x - 4 ∣ = 3 x + 2

Find positive and negative intervals

x < 4, x \geq 4

Solve the inequality for each interval

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

x = \frac{1}{2}

∣ x - 7 ∣ = 10

∣ x - 7 ∣ = 13

∣ x - 5 ∣ = 5 - x

- 9 + ∣ 5 x - 10 ∣ = - 9

- 4 ∣ x + 3 ∣ = - 28