What is the answer to |x-4|=4x+8 ?

The answer to |x-4|=4x+8 is x=-4/5

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|x-4|=4x+8

∣ x - 4 ∣ = 4 x + 8

x = - \frac{4}{5}

Decimal Notation

x = - 0.8

Solution steps

∣ x - 4 ∣ = 4 x + 8

Find positive and negative intervals

x < 4, x \geq 4

Solve the inequality for each interval

x = - \frac{4}{5} or No Solution

x = - \frac{4}{5}

8 ∣ 5 x - 1 ∣ = 0

∣ 5 x - 11 ∣ = 0

∣ y + 2 ∣ = 5

(x) = ∣ x + 4 ∣ + 4

5 ∣ - 9 - 2 x ∣ - 2 = 13