What is the answer to 7|x-6|=8x ?

The answer to 7|x-6|=8x is x= 14/5

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7|x-6|=8x

7 ∣ x - 6 ∣ = 8 x

x = \frac{14}{5}

Decimal Notation

x = 2.8

Solution steps

7 ∣ x - 6 ∣ = 8 x

Find positive and negative intervals

x < 6, x \geq 6

Solve the inequality for each interval

x = \frac{14}{5} or No Solution

x = \frac{14}{5}

∣ 5 x + 6 ∣ - 9 = 17

2 + ∣ 5 x - 10 ∣ = 22

∣ x + 2 ∣ - 6 = 20

2 = ∣ p ∣ - 5

25 = 5 ∣ s - 7 ∣