What is the answer to |5x-2|=x+6 ?

The answer to |5x-2|=x+6 is x=-2/3 \lor x=2

Solve for x: |5x-2|=x+6

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

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∣ 5 x - 2 ∣ = x + 6

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

Decimal Notation

x = - 0.66666 \dots, x = 2

Solution steps

∣ 5 x - 2 ∣ = x + 6

Find positive and negative intervals

x < \frac{2}{5}, x \geq \frac{2}{5}

Solve the inequality for each interval

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

1 = ∣ c + 7 ∣

10 - 8 ∣ x + 2 ∣ = - 86

∣ 13 z ∣ = 0

- 8 ∣ 5 - 2 x ∣ = - 20

∣ 7 + 7 v ∣ = 21