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

The answer to |x-3|=4x is x= 3/5

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|x-3|=4x

∣ x - 3 ∣ = 4 x

x = \frac{3}{5}

Decimal Notation

x = 0.6

Solution steps

∣ x - 3 ∣ = 4 x

Find positive and negative intervals

x < 3, x \geq 3

Solve the inequality for each interval

x = \frac{3}{5} or No Solution

x = \frac{3}{5}

∣ 2 x - 3 ∣ + ∣ x + 1 ∣ = ∣ x + 4 ∣

∣ x + 1 ∣ - ∣ x + 3 ∣ + ∣ x - 1 ∣ - 2 ∣ x - 2 ∣ = x + 2

x^{2} - 4 = - x^{2} + 4

∣ 2 + x ∣ = ∣ x - 8 ∣

∣ 3 x + 1 ∣ = x - 2