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

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

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|x-2|+2x=4x-5

∣ x - 2 ∣ + 2 x = 4 x - 5

x = 3

Solution steps

∣ x - 2 ∣ + 2 x = 4 x - 5

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

No Solution or x = 3

x = 3

b^{8} = ∣ b - 8 ∣ + 7

∣ d ∣ - 8 = 9

- ∣ 5 x ∣ = 10

∣ 5 b ∣ = 12 + b

∣ 3 - 2 x ∣ = - 3