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

The answer to x+| x/4 |=8 is x= 32/5

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x+| x/4 |=8

x + \frac{x}{4} = 8

x = \frac{32}{5}

Decimal Notation

x = 6.4

Solution steps

x + \frac{x}{4} = 8

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

No Solution or x = \frac{32}{5}

x = \frac{32}{5}

4 = ∣ u - 2 ∣

15 = ∣ y + 4 ∣ + 3

∣ 5 x + 9 ∣ + 16 = 22

x, 6 ∣ x ∣ + y = 2

9 = ∣ - 3 f ∣