What is the answer to |x-4|=6x+6 ?

The answer to |x-4|=6x+6 is x=-2/7

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|x-4|=6x+6

∣ x - 4 ∣ = 6 x + 6

x = - \frac{2}{7}

Decimal Notation

x = - 0.28571 \dots

Solution steps

∣ x - 4 ∣ = 6 x + 6

Find positive and negative intervals

x < 4, x \geq 4

Solve the inequality for each interval

x = - \frac{2}{7} or No Solution

x = - \frac{2}{7}

m + 5 = ∣ 15 - 3 m ∣

∣ y ∣ = 18

x, ∣ x ∣ + y = k

∣ 12 x + 18 ∣ = 10

- 9 ∣ n - 7 ∣ = - 18