What is the answer to |2x-7|+1=x ?

The answer to |2x-7|+1=x is x= 8/3 \lor x=6

Solve for x: |2x-7|+1=x

The solution is x= 8/3 \lor x=6

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∣ 2 x - 7 ∣ + 1 = x

x = \frac{8}{3} or x = 6

Solution steps

∣ 2 x - 7 ∣ + 1 = x

Find positive and negative intervals

x < \frac{7}{2}, x \geq \frac{7}{2}

Solve the inequality for each interval

x = \frac{8}{3} or x = 6

3 ∣ x + 1 ∣ + 9 = 6

∣ d - 75 ∣ = 20

∣ s ∣ - 7 = - 7

∣ - 4 x - 1 ∣ = 27

∣ x ∣ - x^{3} = 0