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

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

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|x-4|=2x

∣ x - 4 ∣ = 2 x

x = \frac{4}{3}

Decimal Notation

x = 1.33333 \dots

Solution steps

∣ x - 4 ∣ = 2 x

Find positive and negative intervals

x < 4, x \geq 4

Solve the inequality for each interval

x = \frac{4}{3} or No Solution

x = \frac{4}{3}

x^{2} + 4 x - 12 = 0

e^{0.646 (2)} = x^{2}

π (\frac{1}{2})^{2}

- 5 < - 5 x + 1

\frac{2 3}{5}