What is the answer to 1/5 |x+28|=3x ?

The answer to 1/5 |x+28|=3x is x=2

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1/5 |x+28|=3x

\frac{1}{5} ∣ x + 28 ∣ = 3 x

x = 2

Solution steps

\frac{1}{5} ∣ x + 28 ∣ = 3 x

Find positive and negative intervals

x < - 28, x \geq - 28

Solve the inequality for each interval

No Solution or x = 2

x = 2

x^{2} - 4 x = ∣ 2 x - 8 ∣

4 ∣ 2 x - 7 ∣ = - 12

∣ x + 1 ∣ = ∣ 1 - 3 x ∣

x^{2} + ∣ x ∣ - 6 = 0

2 ∣ x ∣ - ∣ x - 1 ∣ = 3