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

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

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|x-2|=5x+6

∣ x - 2 ∣ = 5 x + 6

x = - \frac{2}{3}

Decimal Notation

x = - 0.66666 \dots

Solution steps

∣ x - 2 ∣ = 5 x + 6

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

x = - \frac{2}{3} or No Solution

x = - \frac{2}{3}

∣ 9 + 9 x ∣ + 6 = 87

∣ 4 x + 7 ∣ - 5 = 19

∣ - 2 x ∣ + 5 = 13

- 2 ∣ y + 5 ∣ = - 10

∣ x + 1 ∣ = 2 x + 5