What is the answer to |x-5|=4x+2 ?

The answer to |x-5|=4x+2 is x= 3/5

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|x-5|=4x+2

∣ x - 5 ∣ = 4 x + 2

x = \frac{3}{5}

Decimal Notation

x = 0.6

Solution steps

∣ x - 5 ∣ = 4 x + 2

Find positive and negative intervals

x < 5, x \geq 5

Solve the inequality for each interval

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

x = \frac{3}{5}

5 ∣ 2 Z + 7 ∣ = 8

∣ x - 5 ∣ = 4 x + 7

∣ x + 46 ∣ = 7

∣ 5 x - 7 ∣ = 14

- 5 ∣ x - 4 ∣ + 4 = 11