What is the answer to |x-1|=2x-3 ?

The answer to |x-1|=2x-3 is x=2

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|x-1|=2x-3

∣ x - 1 ∣ = 2 x - 3

x = 2

Solution steps

∣ x - 1 ∣ = 2 x - 3

Find positive and negative intervals

x < 1, x \geq 1

Solve the inequality for each interval

No Solution or x = 2

x = 2

∣ x + 15 ∣ = 8

∣ 8 m - 8 ∣ = 40

- 10 ∣ x + 2 ∣ = - 70

\frac{n}{5} - 3 = - 2

∣ - 9 + a ∣ = 11