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

The answer to |2x-2|=x+1 is x= 1/3 \lor x=3

Solve for x: |2x-2|=x+1

The solution is x= 1/3 \lor x=3

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∣ 2 x - 2 ∣ = x + 1

x = \frac{1}{3} or x = 3

Decimal Notation

x = 0.33333 \dots, x = 3

Solution steps

∣ 2 x - 2 ∣ = x + 1

Find positive and negative intervals

x < 1, x \geq 1

Solve the inequality for each interval

x = \frac{1}{3} or x = 3

∣ x - 1 ∣ = 2 x - 3

∣ x + 15 ∣ = 8

∣ 8 m - 8 ∣ = 40

- 10 ∣ x + 2 ∣ = - 70

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