What is the answer to |x-6|=3x ?

The answer to |x-6|=3x is x= 3/2

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|x-6|=3x

∣ x - 6 ∣ = 3 x

x = \frac{3}{2}

Decimal

x = 1.5

Solution steps

∣ x - 6 ∣ = 3 x

Find positive and negative intervals

x < 6, x \geq 6

Solve the inequality for each interval

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

x = \frac{3}{2}

∣ 3 g ∣ - 4 = 11

∣ - x + 3 ∣ = 2

- 3 ∣ 2 w ∣ = - 12

∣ 3 x + 2 ∣ + ∣ 3 - x ∣ = 7

y, y + 7 = ∣ x + 5 ∣