What is the answer to |x-2|=3x+8 ?

The answer to |x-2|=3x+8 is x=-3/2

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|x-2|=3x+8

∣ x - 2 ∣ = 3 x + 8

x = - \frac{3}{2}

Decimal Notation

x = - 1.5

Solution steps

∣ x - 2 ∣ = 3 x + 8

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

x = - \frac{3}{2} or No Solution

x = - \frac{3}{2}

∣ 3 x - 2 ∣ - 8 = 1

- 3 ∣ 2 c + 10 ∣ = 0

∣ 2 x - 1 ∣ = 13

2 ∣ x - 4 ∣ + 1 = 7

∣ 2 x - 1 ∣ = - 5