What is the answer to |2x-4|=4x-8 ?

The answer to |2x-4|=4x-8 is x=2

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|2x-4|=4x-8

∣ 2 x - 4 ∣ = 4 x - 8

x = 2

Solution steps

∣ 2 x - 4 ∣ = 4 x - 8

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

No Solution or x = 2

x = 2

∣ x + 8 ∣ = 6

∣ 4 - 3 x ∣ = 8

- 4 ∣ x - 3 ∣ = - 12

∣ 2 x - 6 ∣ = 4

53 = 5 ∣ x - 4 ∣ + 8