What is the answer to |5x-8|-1=2x ?

The answer to |5x-8|-1=2x is x=1\lor x=3

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|5x-8|-1=2x

∣ 5 x - 8 ∣ - 1 = 2 x

x = 1 or x = 3

Solution steps

∣ 5 x - 8 ∣ - 1 = 2 x

Find positive and negative intervals

x < \frac{8}{5}, x \geq \frac{8}{5}

Solve the inequality for each interval

x = 1 or x = 3

∣ 3 x + 2 ∣ = 2 x + 3

∣ 3 x - 7 ∣ = 8

7 ∣ x - 2 ∣ = 6

- ∣ 7 - x ∣ - 5 = - 12

∣ 4 x - 4 ∣ - 8 = - 3