What is the answer to |2x-3|-x=5 ?

The answer to |2x-3|-x=5 is x=-2/3 \lor x=8

Solve for x: |2x-3|-x=5

The solution is x=-2/3 \lor x=8

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∣ 2 x - 3 ∣ - x = 5

x = - \frac{2}{3} or x = 8

Decimal Notation

x = - 0.66666 \dots, x = 8

Solution steps

∣ 2 x - 3 ∣ - x = 5

Find positive and negative intervals

x < \frac{3}{2}, x \geq \frac{3}{2}

Solve the inequality for each interval

x = - \frac{2}{3} or x = 8

∣ - 2 g ∣ + 7 = 13

1 + 5 ∣ 8 + 4 x ∣ = 21

30 = ∣ y - 60 ∣

- 10 ∣ 6 n - 2 ∣ = - 80

∣ 3 x ∣ = - 6